Latest in nlin.cd

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The partial visibility curve of the Feigenbaum cascade to chaosMay 17 2019A family of classical mathematical problems considers the visibility properties of geometric figures in the plane, e.g. curves or polygons. In particular, the {\it domination problem} tries to find the minimum number of points that are able to dominate ... More
When the goal is to generate a series of activities: A self-organized simulated robot armMay 17 2019Behavior is characterized by sequences of goal-oriented conducts, such as food uptake, socializing and resting. Classically, one would define for each task a corresponding satisfaction level, with the agent engaging, at a given time, in the activity having ... More
On the Automatic Parameter Selection for Permutation EntropyMay 15 2019Permutation Entropy (PE) has been shown to be a useful tool for time series analysis due to its low computational cost and noise robustness. This has drawn for its successful application in many fields. Some of these include damage detection, disease ... More
Impact of Network Topology on the Stability of DC Power GridsMay 15 2019We probe the stability of Watts-Strogatz DC power grids, in which droop-controlled producers, constant power load consumers and power lines obey Kirchhoff's circuit laws. The concept of survivability is employed to evaluate the system's response to voltage ... More
High harmonic generation with nearly circular polarized pulsesMay 15 2019According to conventional wisdom, increasing ellipticity reduces high harmonic generation by several orders because the recollision probability decreases. This is the obvious conclusion drawn from the motion of an electron in a laser field without an ... More
On the Wave Turbulence Theory for the Nonlinear Schrödinger Equation with Random PotentialsMay 14 2019We derive a new kinetic and a porous medium equations from the nonlinear Schr\"odinger equation with random potentials. The kinetic equation has a very similar form with the 4-wave turbulence kinetic equation in the wave turbulence theory. Moreover, we ... More
Dynamics of Tipping Cascades on Complex NetworksMay 14 2019Tipping points occur in a lot of systems in various disciplines such as ecology, climate science, economy or engineering. Tipping points are critical thresholds in system parameters or state variables at which a tiny perturbation can lead to a qualitative ... More
Rayleigh-Benard convection in a nonuniformly rotating electrically conductive medium in an external spiral magnetic fieldMay 14 2019The research is devoted to the stability of convective flow in a nonuniformly rotating layer of an electrically conducting fluid in a spiral magnetic field. The stationary and oscillatory modes of magnetic convection are considered depending on the profile ... More
Photon waiting time statistics: a keyhole into dissipative quantum chaosMay 11 2019Quantum systems, when interacting with their environments, can exhibit complex non-equilibrium states that are tempting to be interpreted as quantum versions of chaotic attractors. Here we propose an approach to open cavity dynamics based on the unraveling ... More
Delay Parameter Selection in Permutation Entropy Using Topological Data AnalysisMay 10 2019Permutation Entropy (PE) is a powerful tool for quantifying the predictability of a sequence which includes measuring the regularity of a time series. Despite its successful application in a variety of scientific domains, PE requires a judicious choice ... More
Dynamics of the Morse Oscillator: Analytical Expressions for Trajectories, Action-Angle Variables, and Chaotic DynamicsMay 10 2019We consider the one degree-of-freedom Hamiltonian system defined by the Morse potential energy function (the "Morse oscillator"). We use the geometry of the level sets to construct explicit expressions for the trajectories as a function of time, their ... More
Evidence for crisis-induced intermittency during geomagnetic superchron transitionsMay 09 2019The geomagnetic field's dipole undergoes polarity reversals in irregular time intervals. Particularly long periods (of the order of $10^7$yrs) without reversals, named superchrons, have occurred at least three times in history. We provide observational ... More
Coupled Oscillators as a model of Olfactory Network. Importance in Pattern Recognition and Classification tasksMay 09 2019The olfactory system is constantly solving pattern-recognition problems by the creation of a large space to codify odour representations and optimizing their distribution within it. A model of the Olfactory Bulb was developed by Z. Li and J. J. Hopfield ... More
Huygens synchronisation of three clocks equidistant from each otherMay 09 2019May 12 2019In this paper we study the synchronisation of three identical oscillators, i.e., clocks, hanging from the same hard support. We consider the case where each clock interacts with the other two clocks. The synchronisation is attained through the exchange ... More
Huygens synchronisation of three clocks equidistant from each otherMay 09 2019In this paper we study the synchronisation of three identical oscillators, i.e., clocks, hanging from the same hard support. We consider the case where each clock interacts with the other two clocks. The synchronisation is attained through the exchange ... More
Multifractal dimensions for random matrices, chaotic quantum maps, and many-body systemsMay 08 2019Multifractal dimensions allow for characterizing the localization properties of states in complex quantum systems. For ergodic states the finite-size versions of fractal dimensions converge to unity in the limit of large system size. However, the approach ... More
Statistics of off-diagonal entries of Wigner $K$-matrix for chaotic wave systems with absorptionMay 08 2019Using the Random Matrix Theory approach we derive explicit distributions of the real and imaginary parts for off-diagonal entries of the Wigner reaction matrix $\mathbf{K}$ for wave chaotic scattering in systems with and without time-reversal invariance, ... More
Noise-induced Statistical Periodicity in Random Lasota-Mackey MapsMay 07 2019Noise-induced statistical periodicity in a class of one-dimensional maps is studied. We show the existence of statistical periodicity in a modified Lasota-Mackey map and describe the phenomenon in terms of almost cyclic sets. A transition from a stable ... More
Small scale equidistribution for a point scatterer on the torusMay 07 2019We study the small scale distribution of the eigenfunctions of a point scatterer (the Laplacian perturbed by a delta potential) on two- and three-dimensional flat tori. In two dimensions, we establish small scale equidistribution for the "new" eigenfunctions ... More
Probability of noise-induced separatrix crossing for inertial particles in flowsMay 07 2019The motion of weakly inertial Brownian particles, transported by steady two-dimensional fluid flows, is investigated by means of asymptotic methods. We focus on the phenomenon of noise-induced separatrix crossing, which can force particles to enter or ... More
Parameter-free quantification of stochastic and chaotic signalsMay 06 2019Recurrence entropy $(\cal S)$ is a novel time series complexity quantifier based on recurrence microstates. Here we show that $\mathsf{max}(\cal S)$ is a \textit{parameter-free} quantifier of time correlation of stochastic and chaotic signals, at the ... More
Dynamical thermalization in time-dependent BilliardsMay 06 2019Numerical experiments of the statistical evolution of an ensemble of non-interacting particles in a time-dependent billiard with inelastic collisions, reveals the existence of three statistical regimes for the evolution of the speeds ensemble, namely, ... More
The effect of intermittent upwelling events on plankton bloomsMay 06 2019In the marine environment biological processes are strongly affected by oceanic currents, particularly by eddies (vortices) formed by the hydrodynamic flow field. Employing a kinematic flow field coupled to a population dynamical model for plankton growth, ... More
The motion of buoyant point vorticesMay 06 2019A general formulation is presented for studying the motion of buoyant vortices. It extends the well-known Hamiltonian framework for interacting homogeneous point vortices to include buoyancy effects acting on the vortices. This is then used to systematically ... More
An exact firing rate model reveals the differential effects of chemical versus electrical synapses in spiking networksMay 06 2019Chemical and electrical synapses shape the dynamics of neuronal networks. Numerous theoretical studies have investigated how each of these types of synapses contributes to the generation of neuronal oscillations, but their combined effect is less understood. ... More
The Statistical Properties of Superfluid Turbulence in $^4$He from the Hall-Vinen-Bekharevich-Khalatnikov ModelMay 04 2019We obtain the von K\'arm\'an-Howarth relation for the stochastically forced three-dimensional Hall-Vinen-Bekharvich-Khalatnikov (3D HVBK) model of superfluid turbulence in Helium ($^4$He) by using the generating-functional approach. We combine direct ... More
The Devil's Staircase in the Frequency and Amplitude Locking of Nonlinear Oscillators with Continuous Periodic ForcingMay 03 2019We study the emergence of a devil's staircase resonance structure in the locking behavior of driven continuous systems by periodic modulation of the driving force. In particular, we concentrate on systems that, for a constant sinusoidal forcing term, ... More
Effects of self- and cross-phase modulation on the spontaneous symmetry breaking of light in ring resonatorsMay 03 2019We describe spontaneous symmetry breaking in the powers of two optical modes coupled into a ring resonator, using a pair of coupled Lorentzian equations, featuring tunable self- and cross-phase modulation terms. We investigate a wide variety of nonlinear ... More
Many-body chaos near a thermal phase transitionMay 02 2019We study many-body chaos in a (2+1)D relativistic scalar field theory at high temperatures in the classical statistical approximation, which captures the quantum critical regime and the thermal phase transition from an ordered to a disordered phase. We ... More
Iterative Implicit Methods for Solving Hodgkin-Huxley Type SystemsMay 02 2019We are motivated to approximate solutions of a Hodgkin-Huxley type model with implicit methods. As a representative we chose a psychiatric disease model containing stable as well as chaotic cycling behaviour. We analyze the bifurcation pattern and show ... More
Passive advection of percolation process: Two-loop approximationMay 02 2019The paradigmatic model of the directed percolation process is studied near its second order phase transition between an absorbing and an active state. The model is first expressed in a form of Langevin equation and later rewritten into a field-theoretic ... More
Dragon-kings death in nonlinear wave interactionsMay 01 2019Extreme events are characterised by low probabilities and high impact on the systems. As a consequence, it is possible to find many studies about the predictability and suppression of extreme events. In this work, we show the existence of dragon-kings ... More
Lyapunov Analysis of Chimera States in Globally Coupled Stuart-Landau oscillatorsMay 01 2019Oscillatory systems with long-range or global coupling offer promising insight into the interplay between high-dimensional (or microscopic) chaotic motion and collective interaction patterns. Within this paper, we use Lyapunov analysis to investigate ... More
Characterizations of prethermal states in periodically driven many-body systems with unbounded chaotic diffusionApr 30 2019We introduce well-defined characterizations of prethermal states in realistic periodically driven many-body systems with unbounded chaotic diffusion of the kinetic energy. These systems, interacting arrays of periodically kicked rotors, are paradigmatic ... More
Dynamic stability for a system of ions in a Paul trapApr 30 2019We suggest a theoretical model to characterize regular and chaotic orbits for a system of two ions in a 3D Paul trap, depending on the chosen control parameters. When the electric potential is time independent or in case of the pseudopotential approximation ... More
Evolution of Systems with Power-Law Memory: Do We Have to Die?Apr 30 2019Various features of the development of individual living species, including individual humans, are programmed. Is death also programmed, and if yes, how is it implemented and what can be the underlying mechanism providing the inevitability of death? The ... More
Signal and noise in regime systems: a hypothesis on the predictability of the North Atlantic OscillationApr 30 2019Studies conducted by the UK Met Office reported significant skill at predicting the winter NAO index with their seasonal prediction system. At the same time, a very low signal-to-noise ratio was observed, as measured using the `ratio of predictable components' ... More
On the convergence of the normal form transformation in discrete Rossby and drift wave turbulenceApr 30 2019We study numerically the region of convergence of the normal form transformation for the case of the Charney-Hasagawa-Mima (CHM) equation to investigate whether certain finite amplitude effects can be described in normal coordinates. We do this by taking ... More
Fluctuations of separation of trajectories in chaos and correlation dimensionApr 29 2019We study the generalized Lyapunov exponent that gives the logarithmic growth exponents of the moments of the distance between two infinitesimally close trajectories of a chaotic system. The Legendre transform of the exponent is a large deviations function. ... More
OTOC, complexity and entropy in bi-partite systemsApr 29 2019There is a remarkable interest in the study of Out-of-time ordered correlators (OTOCs) that goes from many body theory and high energy physics to quantum chaos. In this latter case there is a special focus on the comparison with the traditional measures ... More
A Split-Step Fourier Scheme for the Dissipative Kundu-Eckhaus Equation and its Rogue Wave DynamicsApr 29 2019We investigate the rogue wave dynamics of the dissipative Kundu-Eckhaus equation. With this motivation, we propose a split-step Fourier scheme for its numerical solution. After testing the accuracy and stability of the scheme using an analytical solution ... More
Non-monotonic diffusion rates in atom-optics Lévy kicked rotorApr 29 2019May 06 2019The dynamics of chaotic Hamiltonian systems such as the kicked rotor continues to guide our understanding of transport and localization processes. The localized states of the quantum kicked rotor decay due to decoherence effects if subjected to stationary ... More
Non-monotonic diffusion rates in atom-optics Lévy kicked rotorApr 29 2019The dynamics of chaotic Hamiltonian systems such as the kicked rotor continues to guide our understanding of transport and localization processes. The localized states of the quantum kicked rotor decay due to decoherence effects if subjected to stationary ... More
Universality classes of quantum chaotic dissipative systemsApr 29 2019We study the ensemble of complex symmetric matrices. The ensemble is useful in the study of effect of dissipation on systems with time reversal invariance. We consider the nearest neighbor spacing distribution and spacing ratio to investigate the fluctuation ... More
Correlations between avalanches in the depinning dynamics of elastic interfacesApr 27 2019We study the correlations between avalanches in the depinning dynamics of elastic interfaces driven on a random substrate. In the mean field theory (the Brownian force model), it is known that the avalanches are uncorrelated. Here we obtain a simple field ... More
Simplified model and analysis of a pair of coupled thermo-optical MEMS oscillatorsApr 26 2019Motivated by the dynamics of micro-scale oscillators with thermo-optical feedback, a simplified third order model, capturing the key features of these oscillators is developed, where each oscillator consists of a displacement variable coupled to a temperature ... More
Role of acceleration in inducing chaotic fluctuations in particle dynamicsApr 26 2019The ongoing conjecture that the presence of horizon may induce chaos in an integrable system, is further investigated from the perspective of a uniformly accelerated frame. Particularly, we build up a model which consists of a particle trapped in harmonic ... More
Arnold maps with noise: Differentiability and non-monotonicity of the rotation numberApr 26 2019Arnold's standard circle maps are widely used to study the quasi-periodic route to chaos and other phenomena associated with nonlinear dynamics in the presence of two rationally unrelated periodicities. In particular, the El Nino-Southern Oscillation ... More
Arnold maps with noise: Differentiability and non-monotonicity of the rotation numberApr 26 2019May 13 2019Arnold's standard circle maps are widely used to study the quasi-periodic route to chaos and other phenomena associated with nonlinear dynamics in the presence of two rationally unrelated periodicities. In particular, the El Nino-Southern Oscillation ... More
Probing Quantum Chaos in many-body quantum systems by the induced dissipationApr 25 2019We theoretically analyze the depletion dynamics of an ensemble of cold atoms in a quasi one-dimensional optical lattice where atoms in one of the lattice sites are subject to decay. Unlike the previous studies of this problem in R. Labouvie, {\em et. ... More
A practical method for estimating coupling functions in complex dynamical systemsApr 25 2019A foremost challenge in modern network science is the inverse problem on reconstruction (inference) of coupling equations and network topology from the measurements of the network's dynamics. Of particular interest are the methods that can operate on ... More
Turbulent drag reduction: A universal perspective from energy fluxesApr 25 2019Injection of dilute polymer in a turbulent flow suppresses frictional drag. This challenging and technologically important problem remains primarily unresolved due to the complex nature of the flow. An important factor in the drag reduction is the energy ... More
Microscopic laws vs. Macroscopic laws: Perspectives from kinetic theory and hydrodynamicsApr 25 2019Reductionism is a prevalent viewpoint in science according to which all physical phenomena can be understood from fundamental laws of physics. Anderson [Science, 177, 393 (1972)], Laughlin and Pines [PNAS, 97, 28 (2000)], and others have countered this ... More
Applying machine learning to improve simulations of a chaotic dynamical system using empirical error correctionApr 24 2019Dynamical weather and climate prediction models underpin many studies of the Earth system and hold the promise of being able to make robust projections of future climate change based on physical laws. However, simulations from these models still show ... More
Explosive death in nonlinear oscillators coupled by quorum sensingApr 24 2019Many biological and chemical systems exhibit collective behavior in response to the change in their population density. These elements or cells communicate with each other via dynamical agents or signaling molecules. In this work, we explore the dynamics ... More
On the fractal basins of convergence of the libration points in the axisymmetric five-body problem: the convex configurationApr 24 2019In the present work, the Newton-Raphson basins of convergence, corresponding to the coplanar libration points (which act as numerical attractors), are unveiled in the axisymmetric five-body problem, where convex configuration is considered. In particular, ... More
Finding NHIM in 2 and 3 degrees-of-freedom with Hénon-Heiles type potentialApr 22 2019We present the capability of Lagrangian descriptors for revealing the high dimensional phase space structures that are of interest in nonlinear Hamiltonian systems with index-1 saddle. These phase space structures include normally hyperbolic invariant ... More
On the dynamics of Comet 1P/Halley: Lyapunov and power spectraApr 19 2019Using a purely Newtonian model for the Solar System, we investigate the dynamics of comet 1P/Halley considering in particular the Lyapunov and power spectra of its orbit, using the nominal initial conditions of JPL's Horizons system. We carry out precise ... More
Detecting regime transitions in time series using dynamic mode decompositionApr 19 2019We employ the framework of the Koopman operator and dynamic mode decomposition to devise a method to detect transient dynamics and regime changes in time series. We argue that typically transient dynamics experiences the full phase space dimension with ... More
Advection by Compressible Turbulent Flows: Renormalization Group Study of Vector and Tracer AdmixtureApr 18 2019Advection-diffusion problems of magnetic field and tracer field are analyzed using the field theoretic perturbative renormalization group. Both advected fields are considered to be passive, i.e., without any influence on the turbulent environment, and ... More
Anomalous correlators, "ghost" waves and nonlinear standing waves in the $β$-FPUT systemApr 18 2019We investigate the $\beta$-Fermi-Pasta-Ulam-Tsingou (FPUT) chain with beriodic boundary conditions and establish numerically and theoretically the existence of the second-order anomalous correlator. The anomalous correlator manifests in the frequency-wave ... More
Excitation of interfacial waves via near---resonant surface---interfacial wave interactionsApr 17 2019We consider interactions between surface and interfacial waves in the two layer system. Our approach is based on the Hamiltonian structure of the equations of motion, and includes the general procedure for diagonalization of the quadratic part of the ... More
Chaos-Based Anytime Reliable Coded CommunicationsApr 17 2019Anytime reliable communication systems are needed in contexts where the property of vanishing error probability with time is critical. This is the case of unstable real time systems that are to be controlled through the transmission and processing of ... More
Unveiling the basins of convergence in the pseudo-Newtonian planar circular restricted four-body problemApr 17 2019The dynamics of the pseudo-Newtonian restricted four-body problem has been studied in the present paper, where the primaries have equal masses. The parametric variation of the existence as well as the position of the libration points are determined, when ... More
Glassy dynamics in strongly anharmonic chains of oscillatorsApr 16 2019We review the mechanism for transport in strongly anharmonic chains of oscillators near the atomic limit where all oscillators are decoupled. In this regime, the motion of most oscillators remains close to integrable, i.e. quasi-periodic, on very long ... More
Lagrangian transport and chaotic advection in three-dimensional laminar flowsApr 16 2019Transport and mixing of scalar quantities in fluid flows is ubiquitous in industry and Nature. Turbulent flows promote efficient transport and mixing by their inherent randomness. Laminar flows lack such a natural mixing mechanism and efficient transport ... More
New type of oscillation death in coupled counter-rotating identical nonlinear oscillatorsApr 16 2019We study oscillatory and oscillation suppressed phases in coupled counter-rotating nonlinear oscillators. We demonstrate the existence of limit cycle, amplitude death, and oscillation death, and also clarify the Hopf, pitchfork, and infinite period bifurcations ... More
Persistent Homology of Complex Networks for Dynamic State DetectionApr 16 2019In this paper we develop a novel Topological Data Analysis (TDA) approach for studying graph representations of time series of dynamical systems. Specifically, we show how persistent homology, a tool from TDA, can be used to yield a compressed, multi-scale ... More
Anderson Localization on the Bethe Lattice using Cages and the Wegner FlowApr 15 2019Anderson localization on tree-like graphs such as the Bethe lattice, Cayley tree, or random regular graphs has attracted attention due to its apparent mathematical tractability, hypothesized connections to many-body localization, and the possibility of ... More
Non-Weyl Microwave GraphsApr 15 2019One of the most important characteristics of a quantum graph is the average density of resonances, $\rho = \frac{\mathcal{L}}{\pi}$, where $\mathcal{L}$ denotes the length of the graph. This is a very robust measure. It does not depend on the number of ... More
Randomly stirred perfect gasApr 15 2019Foundations of the analysis of scaling in randomly stirred compressible fluid with the aid of stochastic differential equations are discussed in the example of perfect gas. The structure of the stress tensor with nonnegative shear and bulk viscosities ... More
Finite-time Lyapunov exponents and Lagrangian coherent structures in the infinitesimal integration time limitApr 15 2019Lagrangian diagnostics, such as the finite-time Lyapunov exponent and Lagrangian coherent structures, have become popular tools for analyzing unsteady fluid flows. These diagnostics can help illuminate regions where particles transported by a flow will ... More
Finite-time Lyapunov exponents and Lagrangian coherent structures in the infinitesimal integration time limitApr 15 2019May 10 2019Lagrangian diagnostics, such as the finite-time Lyapunov exponent and Lagrangian coherent structures, have become popular tools for analyzing unsteady fluid flows. These diagnostics can help illuminate regions where particles transported by a flow will ... More
Scrambling in strongly chaotic weakly coupled bipartite systems: Universality beyond the Ehrenfest time-scaleApr 13 2019Out-of-time-order correlators (OTOC), vigorously being explored as a measure of quantum chaos and information scrambling, is studied here in the natural and simplest multi-particle context of bipartite systems. We show that two strongly chaotic and weakly ... More
The bound on chaos for closed strings in Anti-de Sitter black hole backgroundsApr 12 2019We perform a systematic study of the maximum Lyapunov exponent values $\lambda$ for the motion of classical closed strings in Anti-de Sitter black hole geometries with spherical, planar and hyperbolic horizons. Analytical estimates from the linearized ... More
The bound on chaos for closed strings in Anti-de Sitter black hole backgroundsApr 12 2019Apr 17 2019We perform a systematic study of the maximum Lyapunov exponent values $\lambda$ for the motion of classical closed strings in Anti-de Sitter black hole geometries with spherical, planar and hyperbolic horizons. Analytical estimates from the linearized ... More
Van der Pol - Duffing oscillator: global view of metamorphoses of the amplitude profilesApr 12 2019May 09 2019Dynamics of the Duffing--Van der Pol driven oscillator is investigated. Periodic steady-state solutions of the corresponding equation are computed within the Krylov-Bogoliubov-Mitropolsky approach to yield dependence of amplitude $A$ on forcing frequency ... More
Van der Pol - Duffing oscillator: global view of metamorphoses of the amplitude profilesApr 12 2019Dynamics of the Duffing--Van der Pol driven oscillator is investigated. Periodic steady-state solutions of the corresponding equation are computed within the Krylov-Bogoliubov-Mitropolsky approach to yield dependence of amplitude $A$ on forcing frequency ... More
Predicting Spatio-Temporal Time Series Using Dimension Reduced Local StatesApr 12 2019We present a method for both cross estimation and iterated time series prediction of spatio temporal dynamics based on reconstructed local states, PCA dimension reduction, and local modelling using nearest neighbour methods. The effectiveness of this ... More
Exact Area Law for Planar Loops in Turbulence in Two and Three DimensionsApr 10 2019Apr 14 2019We study properties of the minimal surface in the Area Law Solution \cite{M93}, \cite{M19a}, \cite{M19b}. We find out that Area Law holds exactly for 2D turbulence as well as for arbitrary planar loop in higher dimensions. This relies on our previous ... More
Exact Area Law for Planar Loops in Turbulence in Two and Three DimensionsApr 10 2019We study properties of the minimal surface in the Area Law Solution \cite{M93}, \cite{M19a}, \cite{M19b}. We find out that Area Law holds exactly for 2D turbulence as well as for arbitrary planar loop in higher dimensions. This relies on our previous ... More
Shaping the Branched Flow of Light through Disordered MediaApr 10 2019Electronic matter waves traveling through the weak and smoothly varying disorder potential of a semi-conductor show branching behavior instead of a smooth spreading of flow. By transferring this phenomenon to optics, we show how the branched flow of light ... More
Estimating Lyapunov exponents in billiardsApr 10 2019Dynamical billiards are paradigmatic examples of chaotic Hamiltonian dynamical systems with widespread applications in physics. We study how well their Lyapunov exponent, characterizing the chaotic dynamics, and its dependence on external parameters can ... More
On the computation of the extremal index for time seriesApr 09 2019The extremal index is a quantity introduced in extreme value theory to measure the presence of clusters of exceedances. In the dynamical systems framework, it provides important information about the dynamics of the underlying systems. In this paper we ... More
On the Newton-Raphson basins of convergence associated with the libration points in the axisymmetric five-body problem: the concave configurationApr 09 2019The axisymmetric five-body problem with the concave configuration has been studied numerically to reveal the basins of convergence, by exploring the Newton-Raphson iterative scheme, corresponding to the coplanar libration points (which act as attractors). ... More
Morphology of wetting-layer states in a simple quantum-dot wetting-layer modelApr 08 2019The excitation of semiconductor quantum dots often involves an attached wetting layer with delocalized single-particle energy eigenstates. These wetting-layer states are usually approximated by (orthogonalized) plane waves. We show that this approach ... More
Phase locking of spin transfer nano-oscillators using common microwave sourcesApr 08 2019In this paper, we study typical nonlinear phenomenon of phase-locking or synchronization in spin-torque nano oscillators (STNOs). To start with the oscillators are considered as uncoupled but interlinked through either a common microwave current or a ... More
On the convergence dynamics of the Sitnikov problem with non-spherical primariesApr 08 2019We investigate, using numerical methods, the convergence dynamics of the Sitnikov problem with non-spherical primaries, by applying the Newton-Raphson (NR) iterative scheme. In particular, we examine how the oblateness parameter $A$ influences several ... More
Orbit classification and networks of periodic orbits in the planar circular restricted five-body problemApr 08 2019The aim of this paper is to numerically investigate the orbital dynamics of the circular planar restricted problem of five bodies. By numerically integrating several large sets of initial conditions of orbits we classify them into three main categories: ... More
On the classification of orbits in the three-dimensional Copenhagen problem with oblate primariesApr 08 2019The character of motion for the three-dimensional circular restricted three-body problem with oblate primaries is investigated. The orbits of the test particle are classified into four types: non-escaping regular orbits around the primaries, trapped chaotic ... More
A novel approach to generate attractors with a high number of scrollsApr 05 2019In this paper, it is presented a novel method for increasing the number of scrolls in a hybrid nonlinear switching system. Using the definition of the "Round to the Nearest Integer Function", as a generalization of a PWL function, which is capable of ... More
A map for systems with resonant trappings and scatteringsApr 05 2019Slow-fast dynamics and resonant phenomena can be found in a wide range of physical systems, including problems of celestial mechanics, fluid mechanics, and charged particle dynamics. Important resonant effects that control transport in the phase space ... More
Chaos based Berry phase detectorApr 03 2019The geometric or Berry phase, a characteristic of quasiparticles, is fundamental to the underlying quantum materials. The discoveries of new materials at a rapid pace nowadays call for efficient detection of the Berry phase. Utilizing $\alpha$-T$_3$ lattice ... More
Exact Correlation Functions for Dual-Unitary Lattice Models in 1+1 DimensionsApr 03 2019Apr 09 2019We consider a class of quantum lattice models in $1+1$ dimensions represented as local quantum circuits that enjoy a particular "dual-unitarity" property. In essence, this property ensures that both the evolution "in time" and that "in space" are given ... More
Exact Correlation Functions for Dual-Unitary Lattice Models in 1+1 DimensionsApr 03 2019We consider a class of quantum lattice models in $1+1$ dimensions represented as local quantum circuits that enjoy a particular "dual-unitarity" property. In essence, this property ensures that both the evolution "in time" and that "in space" are given ... More
Novel transition and Bellerophon state in coupled Stuart-Landau oscillatorsApr 03 2019We study synchronization in a system of Stuart-Landau oscillators with frequency-weighted coupling. For three typical unimodal frequency distributions, namely, the Lorentzian, the triangle, and the uniform, we found that the first-order transition occurs ... More
Do quantum fluctuations stabilize an inverted pendulum? A dynamical system studyApr 01 2019We explore analytically the quantum dynamics of a point mass pendulum using the Heisenberg equation of motion. Choosing as variables the mean position of the pendulum, a suitably defined generalised variance and a generalised skewness, we set up a dynamical ... More
Quantum fluctuations stabilize an inverted pendulumApr 01 2019May 08 2019We explore analytically the quantum dynamics of a point mass pendulum using the Heisenberg equation of motion. Choosing as variables the mean position of the pendulum, a suitably defined generalised variance and a generalised skewness, we set up a dynamical ... More
Scaling Index $α= \frac{1}{2}$ In Turbulent Area LawApr 01 2019Apr 06 2019We analyze the Minimal Area solution to the Loop Equations in turbulence \cite{M93}. As it follows from the new derivation in the recent paper \cite{M19}, the vorticity is represented as a normal vector to the minimal surface not just at the edge, like ... More
Scaling Index $α= \frac{1}{2}$ In Turbulent Area LawApr 01 2019We analyze the Minimal Area solution to the Loop Equations in turbulence \cite{M93}. As it follows from the new derivation in the recent paper \cite{M19}, the vorticity is represented as a normal vector to the minimal surface not just at the edge, like ... More