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Dynamic causal modelling of phase-amplitude interactionsSep 17 2019Models of coupled oscillators are used to describe a wide variety of phenomena in neuroimaging. These models typically rest on the premise that oscillator dynamics do not evolve beyond their respective limit cycles, and hence that interactions can be ... More

Low-Dimensional Dynamics for Higher Order Harmonic Globally Coupled Phase Oscillator EnsembleSep 17 2019The Kuramoto model, despite its popularity as a mean field theory for many synchronization phenomenon of oscillatory systems, is limited to a first order harmonic coupling of phases. For higher order coupling, there only exists a low-dimensional theory ... More

The Science of Murray Gell-MannSep 16 2019This article summarizes some of the most important scientific contributions of Murray Gell-Mann (1929-2019). (Invited article for Current Science, Indian Academy of Sciences.)

Unifying criticality and the neutral theory of neural avalanchesSep 15 2019The distribution of collective firing of neurons, known as a neural avalanche, obeys a power law. Three proposed explanations of this emergent scale-free behavior are criticality, neutral theory, and self-organized criticality. We show that the neutral ... More

Cognitive swarming in complex environments with attractor dynamics and oscillatory computingSep 15 2019Neurobiological theories of spatial cognition developed with respect to recording data from relatively small and/or simplistic environments compared to animals' natural habitats. It has been unclear how to extend theoretical models to large or complex ... More

Balancing Error and Dissipation in Highly-Reliable ComputingSep 14 2019Modern digital electronics support remarkably reliable computing, especially given the challenge of controlling nanoscale logical components that interact in fluctuating environments. However, the high-reliability limit is subject to a fundamental error-energy-efficiency ... More

How to Pare a Pair: Topology Control and Pruning in Intertwined Complex NetworksSep 13 2019Sep 16 2019Recent work on self-organized remodelling of vasculature in slime-mold, leaf venation systems and vessel systems in vertebrates has put forward a plethora of potential adaptation mechanisms. All these share the underlying hypothesis of a flow-driven machinery, ... More

How to Pare a Pair: Topology Control and Pruning in Intertwined Complex NetworksSep 13 2019Recent work on self-organized remodelling of vasculature in slime-mold, leaf venation systems and vessel systems in vertebrates has put forward a plethora of potential adaptation mechanisms. All these share the underlying hypothesis of a flow-driven machinery, ... More

An adaptive voter model on simplicial complexesSep 12 2019Collective decision making processes lie at the heart of many social, political and economic challenges. The classical voter model is a well-established conceptual model to study such processes. In this work, we define a new form of adaptive (or co-evolutionary) ... More

The Emergence of Innovation Complexity at Different Geographical and Technological ScalesSep 12 2019We define a novel quantitative strategy inspired by the ecological notion of nestedness to single out the scale at which innovation complexity emerges from the aggregation of specialized building blocks. Our analysis not only suggests that the innovation ... More

Chaos in nanomagnet via feedback currentSep 11 2019Nonlinear magnetization dynamics excited by spin-transfer effect with feedback current is studied both numerically and analytically. The numerical simulation of the Landau-Lifshitz-Gilbert equation indicates the positive Lyapunov exponent for a certain ... More

Optimal Machine Intelligence Near the Edge of ChaosSep 11 2019It has long been suggested that living systems, in particular the brain, may operate near some critical point. How about machines? Through dynamical stability analysis on various computer vision models, we find direct evidence that optimal deep neural ... More

Shadowing the rotating annulus. Part II: Gradient descent in the perfect model scenarioSep 11 2019Shadowing trajectories are model trajectories consistent with a sequence of observations of a system, given a distribution of observational noise. The existence of such trajectories is a desirable property of any forecast model. Gradient descent of indeterminism ... More

Clusters and the entropy in opinion dynamics on complex networksSep 11 2019In this work, we investigate a heterogeneous population in the modified Hegselmann-Krause opinion model on complex networks. We introduce the Shannon information entropy about all relative opinion clusters to characterize the cluster profile in the final ... More

Machine Learning for Stochastic Parameterization: Generative Adversarial Networks in the Lorenz '96 ModelSep 10 2019Stochastic parameterizations account for uncertainty in the representation of unresolved sub-grid processes by sampling from the distribution of possible sub-grid forcings. Some existing stochastic parameterizations utilize data-driven approaches to characterize ... More

Zip and velcro bifurcations in competition models in ecology and economicsSep 10 2019During the last six years or so, a number of interesting papers discussed systems with line segments of equilibria, planes of equilibria, and with more general equilibrium configurations. This note draws attention to the fact that such equilibria were ... More

Modeling User Reputation in Online Social Networks: The Role of Costs, Benefits, and ReciprocitySep 10 2019We analyze an agent-based model to estimate how the costs and benefits of users in an online social network (OSN) impact the robustness of the OSN. Benefits are measured in terms of relative reputation that users receives from their followers. They can ... More

Diffusion in crowded colloids of particles cyclically changing their shapes: A model for bacterial cytoplasmSep 09 2019Crowded colloids of particles that cyclically change their shapes, but do not propel themselves, can be viewed as an idealization of bacterial cytoplasm. Our simulations for a proposed model of oscillating dumbbells, performed at the parameter values ... More

Vocal wow in an adapted reflex resonance modelSep 07 2019Vocal wow is a slow 0.2 - 3 Hz modulation of the voice that may be distinguished from the 4 - 7 Hz modulation of tremor or vibrato. We use a simple model of laryngeal muscle activation, mediated by time-delayed auditory feedback, to show that wow may ... More

Emergence of global synchronization in directed excitatory networks of type I neuronsSep 07 2019Collective behavior of neural networks depends on the cellular and synaptic properties of the neurons. The phase-response curve (\textit{PRC}) is an experimentally obtainable measure of cellular properties that quantifies the shift in the next spike time ... More

Shadowing the rotating annulus. Part I: Measuring candidate trajectory shadowing timesSep 04 2019An intuitively necessary requirement of models used to provide forecasts of a system's future is the existence of shadowing trajectories that are consistent with past observations of the system: given a system-model pair, do model trajectories exist that ... More

Variations of Saffman's robot: two mechanisms of locomotion?Sep 03 2019Sep 12 2019We study two mechanisms of locomotion of a body in an inviscid fluid, which take place without the shedding of vorticity; we consider two simple examples of robots which are able to move along a straight trajectory. The first one consists of a sphere ... More

Variations of Saffman's robot: two mechanisms of locomotionSep 03 2019We study two mechanisms of locomotion of a body in an inviscid fluid, which take place without the shedding of vorticity; we consider two simple examples of robots which are able to move along a straight trajectory. The first one consists of a sphere ... More

Some lattice models with hyperbolic chaotic attractorsSep 03 2019Examples of one-dimensional lattice systems are considered, in which patterns of different spatial scales arise alternately, so that the spatial phase over a full cycle undergo transformation according to expanding circle map that implies occurrence of ... More

Learning Physics from Data: a Thermodynamic InterpretationSep 03 2019Experimental data bases are typically very large and high dimensional. To learn from them requires to recognize important features (a pattern), often present at scales different to that of the recorded data. Following the experience collected in statistical ... More

The law of proportionate growth and its siblings: Applications in agent-based modeling of socio-economic systemsSep 02 2019The law of proportionate growth simply states that the time dependent change of a quantity $x$ is proportional to $x$. Its applicability to a wide range of dynamic phenomena is based on various assumptions for the proportionality factor, which can be ... More

Network Mechanism for Insect OlfactionAug 30 2019Early olfactory pathway responses to the presentation of an odor exhibit remarkably similar characteristics across phyla from insects to mammals, and frequently involve transitions among quiescence, collective network oscillations, and asynchronous firing. ... More

Control of Synchronization in two-layer power gridsAug 30 2019In this work the dynamics of a two-layer network, modelling the Italian high voltage power grid is investigated. The first layer in our model represents the power grid consisting of generators and consumers, while the second layer represents a dynamic ... More

How emotions drive opinion polarization: An agent-based modelAug 30 2019We provide an agent-based model to explain the emergence of collective opinions not based on feedback between different opinions, but based on emotional interactions between agents. The driving variable is the emotional state of agents, characterized ... More

A Simple Model of Cell Proliferation of Bacteria Using Min OscillationAug 30 2019A mathematical model of Min oscillation in Escherichia coli is numerically studied. The oscillatory state and hysteretic transition are explained with simpler coupled differential equations. Next, we propose a simple model of cell growth and division ... More

How clock heterogeneity affects synchronization and can enhance stabilityAug 29 2019The production process of integrated electronic circuitry inherently leads to large heterogeneities on the component level. For electronic clock networks this implies detuned intrinsic frequencies and differences in coupling strength and the characteristic ... More

How clock heterogeneity affects synchronization and can enhance stabilityAug 29 2019Sep 02 2019The production process of integrated electronic circuitry inherently leads to large heterogeneities on the component level. For electronic clock networks this implies detuned intrinsic frequencies and differences in coupling strength and the characteristic ... More

Analysis of aligning active local searchers orbiting around their common home positionAug 28 2019We discuss effects of pairwise aligning interactions in an ensemble of central place foragers or of searchers that are connected to a common home. In a wider sense, we also consider self moving entities that are attracted to a central place such as, for ... More

Network Communities of Dynamical InfluenceAug 27 2019Fuelled by a desire for greater connectivity, networked systems now pervade our society at an unprecedented level that will affect it in ways we do not yet understand. Nature, in contrast, has already developed efficient and resilient large-scale networks, ... More

Dynamic stability of electric power grids: Tracking the interplay of the network structure, transmission losses and voltage dynamicsAug 27 2019Dynamic stability is imperative for the operation of the electric power system. This article provides analytical results and effective stability criteria focusing on the interplay of network structures and the local dynamics of electric machines. The ... More

Multistability in lossy power grids and oscillator networksAug 27 2019The stable operation of the electric power grid relies on a precisely synchronized state of all generators and machines. All machines rotate at exactly the same frequency with fixed phase differences, leading to steady power flows throughout the grid. ... More

Cooperative regulation of cellular identity in systems with intercellular communication defectsAug 26 2019The cooperative dynamics of cellular populations emerging from the underlying interactions determines cellular functions, and thereby their identity in tissues. Global deviations of this dynamics on the other hand reflects pathological conditions. However, ... More

Five decades of US, UK, German and Dutch music charts show that cultural processes are acceleratingAug 26 2019Analyzing the timeline of US, UK, German and Dutch music charts, we find that the evolution of album lifetimes and of the size of weekly rank changes provide evidence for an acceleration of cultural processes. For most of the past five decades number ... More

Role Detection in Bicycle-Sharing Networks Using Multilayer Stochastic Block ModelsAug 26 2019Urban spatial networks are complex systems with interdependent roles of neighborhoods and methods of transportation between them. In this paper, we classify docking stations in bicycle-sharing networks to gain insight into the spatial delineations of ... More

Drive-specific adaptation in disordered mechanical networks of bistable springsAug 25 2019Systems with many stable configurations abound in nature, both in living and inanimate matter. Their inherent nonlinearity and sensitivity to small perturbations make them challenging to study, particularly in the presence of external driving, which can ... More

Modelling physical limits of migration by a kinetic model with non-local sensingAug 22 2019Migrating cells choose their preferential direction of motion in response to different signals and stimuli sensed by spanning their external environment. However, the presence of dense fibrous regions, lack of proper substrate, and cell overcrowding may ... More

Memristive Networks: from Graph Theory to Statistical PhysicsAug 21 2019We provide an introduction to a very specific toy model of memristive networks, for which an exact differential equation for the internal memory which contains the Kirchhoff laws is known. In particular, we highlight how the circuit topology enters the ... More

Cross frequency coupling in next generation inhibitory neural mass modelsAug 21 2019Coupling among neural rhythms is one of the most important mechanisms at the basis of cognitive processes in the brain. In this study we consider a neural mass model, rigorously obtained from the microscopic dynamics of an inhibitory spiking network with ... More

Effective Bounds on Network-Size for Anti-phase SynchronizationAug 20 2019We consider anti-phase synchronization of coupled oscillators using the Stuart-Landau model and explore its relative infrequency in occurrence compared to in-phase synchronization. We report effective limits in number of oscillators which can anti-phase ... More

Digraphs are different: Why directionality matters in complex systemsAug 19 2019Many networks describing complex systems are directed: the interactions between elements are not symmetric. Recent work has shown that these networks can display properties such as trophic coherence or non-normality, which in turn affect stability, percolation ... More

Chaos suppression in a Gompertz-like discrete system of fractional orderAug 19 2019In this paper we introduce the fractional-order variant of a Gompertz-like discrete system. The chaotic behavior is suppressed with an impulsive control algorithm. The numerical integration and the Lyapunov exponent are obtained by means of the discrete ... More

Indetermination of networks structure from the dynamics perspectiveAug 17 2019Networks are universally considered as complex structures of interactions of large multi-component systems. In order to determine the role that each node has inside a complex network, several centrality measures have been developed. Such topological features ... More

Topological universality of on-demand ride-sharing efficiencyAug 16 2019Ride-sharing may substantially contribute to future-compliant sustainable mobility, both in urban and rural areas. The service quality of ride-sharing fleets jointly depends on the topology of the underlying street networks, the spatio-temporal demand ... More

Superfast amplification and superfast nonlinear saturation of perturbations as the mechanism of turbulenceAug 13 2019Ruelle predicted that the maximal amplification of perturbations in homogeneous isotropic turbulence is exponential $e^{\sigma \sqrt{Re} t}$ (where $\sigma \sqrt{Re}$ is the maximal Liapunov exponent). In our earlier works, we predicted that the maximal ... More

Spectral and Dynamic Consequences of Network SpecializationAug 12 2019One of the hallmarks of real networks is their ability to perform increasingly complex tasks as their topology evolves. To explain this, it has been observed that as a network grows certain subsets of the network begin to specialize the function(s) they ... More

Signaling gradients in surface dynamics as basis for planarian regenerationAug 12 2019Aug 13 2019We introduce and analyze a mathematical model for the regeneration of planarian flatworms. This system of differential equations incorporates dynamics of head and tail cells which express positional control genes that in turn translate into localized ... More

Signaling gradients in surface dynamics as basis for planarian regenerationAug 12 2019We introduce and analyze a mathematical model for the regeneration of planarian flatworms. This system of differential equations incorporates dynamics of head and tail cells which express positional control genes that in turn translate into localized ... More

Hierarchical clusters in neuronal populations with plasticityAug 12 2019We report the phenomenon of hierarchical clustering in a network of Hodgkin-Huxley neurons with spike timing-dependent plasticity. The clustering leads to a splitting of a neuronal population into a few groups synchronized at different frequencies. In ... More

Heterogeneities in electricity grids strongly enhance non-Gaussian features of frequency fluctuations under stochastic power inputAug 10 2019We study the impact of stochastic wind power feed-in on the short-term frequency fluctuations in power grids based on an IEEE test grid structure, the swing equation for the dynamics of voltage phase angles, and a series of measured wind speed data. External ... More

Stability Analysis of Reservoir Computers Dynamics via Lyapunov FunctionsAug 09 2019A Lyapunov design method is used to analyze the nonlinear stability of a generic reservoir computer for both the cases of continuous-time and discrete-time dynamics. Using this method, for a given nonlinear reservoir computer, a radial region of stability ... More

Quantifying information loss on chaotic attractors through recurrence networksAug 08 2019We propose an entropy measure for the analysis of chaotic attractors through recurrence networks which are un-weighted and un-directed complex networks constructed from time series of dynamical systems using specific criteria. We show that the proposed ... More

Fractional dynamics on circulant multiplex networks: optimal coupling and long-range navigation for continuous-time random walksAug 07 2019This work analyzes fractional continuous-time random walks on two-layer multiplexes. A node-centric dynamics is used, in which it is assumed a Poisson distribution of a walker to become active, while a jump to one of its neighbors depends on the connection ... More

Oscillatory evolution of collective behavior in evolutionary games played with reinforcement learningAug 07 2019Large-scale cooperation underpins the evolution of ecosystems and the human society, and the collective behaviors by self-organization of multi-agent systems are the key for understanding. As artificial intelligence (AI) prevails in almost all branches ... More

The distinct flavors of Zipf's law in the rank-size and in the size-distribution representations, and its maximum-likelihood fittingAug 04 2019In the last years, researchers have realized the difficulties of fitting power-law distributions properly. These difficulties are higher in Zipf's systems, due to the discreteness of the variables and to the existence of two representations for these ... More

Delay engineered solitary states in complex networksAug 04 2019We present a technique to engineer solitary states by means of delayed links in a network of neural oscillators and in coupled chaotic maps. Solitary states are intriguing partial synchronization patterns, where a synchronized cluster coexists with solitary ... More

Dynamic Vulnerability in Oscillatory Networks and Power GridsAug 02 2019Recent work found distributed resonances in driven oscillator networks and AC power grids. The emerging dynamic resonance patterns are highly heterogeneous and nontrivial, depending jointly on the driving frequency, the interaction topology of the network ... More

Could short-lasting non-specific immunity explain seasonal spacing of epidemic diseases?Aug 02 2019Common respiratory viruses cause seasonal epidemics in sequential patterns. The underlying mechanisms for this pattern have been debated for some time. For influenza, contenders include temperature, humidity, and vitamin D levels. While such seasonal ... More

Bistability and Synchronization in Coupled Maps ModelsAug 02 2019Several coupled maps models are sketched and reviewed in this short communication. First, a discrete logistic type model that was proposed for the symbiotic interaction of two species. Second, a model of many of these symbiotic species evolving together ... More

nsCouette -- A high-performance code for direct numerical simulations of turbulent Taylor-Couette flowAug 01 2019Aug 08 2019We present nsCouette, a highly scalable software tool to solve the Navier-Stokes equations for incompressible fluid flow between differentially heated and independently rotating, concentric cylinders. It is based on a pseudospectral spatial discretization ... More

nsCouette -- A high-performance code for direct numerical simulations of turbulent Taylor-Couette flowAug 01 2019We present nsCouette, a highly scalable software tool to solve the Navier-Stokes equations for incompressible fluid flow between differentially heated and independently rotating, concentric cylinders. It is based on a pseudospectral spatial discretization ... More

Transitions from chimeras to coherence: An analytical approach by means of the coherent stability functionAug 01 2019Chimera states have been a vibrant subject of research in the recent past, but the analytical treatment of transitions from chimeras to coherent states remains a challenge. Here we analytically derive the necessary conditions for this transition by means ... More

Aging transition in the absence of inactive oscillatorsAug 01 2019The role of counter-rotating oscillators in an ensemble of coexisting co- and counter-rotating oscillators is examined by increasing the proportion of the latter. The phenomenon of aging transition was identified at a critical value of the ratio of the ... More

Random-Graph Models and Characterization of Granular NetworksJul 31 2019Various approaches and measures from network analysis have been applied to granular and particulate networks to gain insights into their structural, transport, failure-propagation, and other systems-level properties. In this paper, we examine a variety ... More

Transition to hyperbolic hyperchaos in a nonautonomous time-delay systemJul 31 2019We consider a time delay system whose excitation parameter is periodically modulated. Each new stage of excitation is seeded from the stage before the last, and due to the nonlinearity the seeding arrives with the doubled phase. As a result, the system ... More

Time delay effects in the control of synchronous electricity gridsJul 31 2019The expansion of inverter-connected generation facilities (i.e. wind and photovoltaics) and the removal of conventional power plants is necessary to mitigate the impacts of climate change. Whereas conventional generation with large rotating generator ... More

Emergence of new coherent regions for breathing chimera statesJul 31 2019Chimera states in one-dimensional nonlocally coupled phase oscillators are mostly assumed to be stationary, but breathing chimeras can occasionally appear branching from the stationary chimeras via Hopf bifurcation. In this paper, we demonstrate two types ... More

Quantum Synchronisation Enabled by Dynamical Symmetries and DissipationJul 30 2019In nature, instances of synchronisation abound across a diverse range of environments. In the quantum regime, however, synchronisation is typically observed by identifying an appropriate parameter regime in a specific system. In this work we show that ... More

Collective dynamics of random Janus oscillator networksJul 28 2019Janus oscillators have been recently introduced as a remarkably simple phase oscillator model that exhibits non-trivial dynamical patterns -- such as chimeras, explosive transitions, and asymmetry-induced synchronization -- that once were only observed ... More

Flow in bounded and unbounded pore networks with different connectivityJul 27 2019This work is concerned with the intricate interplay between node or pore pressures and connection or throat conductivities in flow or pore networks. A setting similar to pore networks is given by fracture networks. Recently, a non-local generalization ... More

Fitting In and Breaking Up: A Nonlinear Version of Coevolving Voter ModelsJul 26 2019We investigate a nonlinear version of coevolving voter models, in which both node states and network structure update as a coupled stochastic dynamical process. Most prior work on coevolving voter models has focused on linear update rules with fixed rewiring ... More

Interaction Mechanisms Quantified from Dynamical Features of Frog ChorusesJul 26 2019Interaction mechanism in the acoustic communication of actual animals is investigated by combining mathematical modeling and empirical data. Here we use a deterministic mathematical model (a phase oscillator model) to describe the interaction mechanism ... More

Linear response theory in coupled phase oscillators with general coupling functionsJul 25 2019We develop a linear response theory through computing the asymptotic value of the order parameter from the linearized equation of continuity around the nonsynchronized reference state with the aid of the Laplace transform in time. The proposed theory ... More

Explosive Phenomena in Complex NetworksJul 23 2019The emergence of large-scale connectivity and synchronization are crucial to the structure, function and failure of many complex socio-technical networks. Thus, there is great interest in analyzing phase transitions to large-scale connectivity and to ... More

Spike-timing-dependent plasticity with axonal delay tunes networks of Izhikevich neurons to the edge of synchronization transition with scale-free avalanchesJul 22 2019Critical brain hypothesis has been intensively studied both in experimental and theoretical neuroscience over the past two decades. However, some important questions still remain: (i) What is the critical point the brain operates at? (ii) What is the ... More

Taming Chimeras in Networks through Multiplexing DelaysJul 21 2019Chimera referring to a coexistence of coherent and incoherent states, is traditionally very difficult to control due to its peculiar nature. Here, we provide a recipe to construct chimera states in the multiplex networks with the aid of multiplexing-delays. ... More

Taming Chimeras in Networks through Multiplexing DelaysJul 21 2019Aug 04 2019Chimera referring to a coexistence of coherent and incoherent states, is traditionally very difficult to control due to its peculiar nature. Here, we provide a recipe to construct chimera states in the multiplex networks with the aid of multiplexing-delays. ... More

A two-patch epidemic model with nonlinear reinfectionJul 21 2019The propagation of infectious diseases and its impact on individuals play a major role in disease dynamics, and it is important to incorporate population heterogeneity into efforts to study diseases. As a simplistic but illustrative example, we examine ... More

Learning spatiotemporal signals using a recurrent spiking network that discretizes timeJul 20 2019Learning to produce spatiotemporal sequences is a common task the brain has to solve. While many sequential behaviours differ superficially, the underlying organization of the computation might be similar. The way the brain learns these tasks remains ... More

Fast and robust computation of coherent Lagrangian vortices on very large two-dimensional domainsJul 19 2019Jul 30 2019We describe a new method for computing coherent Lagrangian vortices in two-dimensional flows according to any of the following approaches: black-hole vortices [Haller & Beron-Vera, 2013], objective Eulerian Coherent Structures (OECSs) [Serra & Haller, ... More

Fast and robust computation of coherent Lagrangian vortices on very large two-dimensional domainsJul 19 2019We describe a new method for computing coherent Lagrangian vortices in two-dimensional flows according to any of the following approaches: black-hole vortices [Haller & Beron-Vera, 2013], objective Eulerian Coherent Structures (OECSs) [Serra & Haller, ... More

Critical Behavior at the Onset of Multichimera States in a Coupled-Oscillator ArrayJul 16 2019We numerically investigate the onset of multi-chimera states in a linear array of coupled oscillators. As the phase delay $\alpha$ is increased, they exhibit a continuous transition from the globally synchronized state to the multichimera state consisting ... More

Hydrodynamic synchronization and collective dynamics of colloidal particles driven along a circular pathJul 16 2019We study theoretically the collective dynamics of particles driven by an optical vortex along a circular path. Phase equations of N particles are derived by taking into account both hydrodynamic and repulsive interactions between them. For N = 2, the ... More

High-order couplings in geometric complex networks of neuronsJul 15 2019We explore the consequences of introducing higher-order interactions in a geometric complex network of Morris-Lecar neurons. We focus on the regime where travelling synchronization waves are observed out of a first-neighbours based coupling, to evaluate ... More

Forced synchronization of an oscillator with a line of equilibriaJul 15 2019The model of a non-autonomous memristor-based oscillator with a line of equilibria is studied. A numerical simulation of the system driven by a periodical force is combined with a theoretical analysis by means of the quasi-harmonic reduction. Both two ... More

A dynamic over games drives selfish agents to win-win outcomesJul 15 2019Understanding the evolution of human social systems requires flexible formalisms for the emergence of institutions. Although game theory is normally used to model interactions individually, larger spaces of games can be helpful for modeling how interactions ... More

Comprehending deterministic and stochastic occasional uncoupling induced synchronizations through each otherJul 14 2019In this paper, we critically reexplore the stochastic and the deterministic occasional uncoupling methods of effecting identical synchronized states in low dimensional, dissipative, diffusively coupled, chaotic flows that are otherwise not synchronized ... More

Mobility restores the mechanism which supports cooperation in the voluntary prisoner's dilemma gameJul 11 2019It is generally believed that in a situation where individual and collective interests are in conflict, the availability of optional participation is a key mechanism to maintain cooperation. Surprisingly, this effect is sensitive to the use of microscopic ... More

Analysis of Bivariate Jump-Diffusion ProcessesJul 11 2019We introduce the bivariate jump-diffusion process, comprising two-dimensional diffusion and two-dimensional jumps, that can be coupled to one another. We present a data-driven, non-parametric estimation procedure of higher-order Kramers--Moyal coefficients ... More

Dynamical modelling of cascading failures in the Turkish power gridJul 11 2019Sep 03 2019A reliable supply of electricity is critical for our modern society and any large scale disturbance of the electrical system causes substantial costs. In 2015, one overloaded transmission line caused a cascading failure in the Turkish power grid, affecting ... More

Dynamical modelling of cascading failures in the Turkish power gridJul 11 2019A reliable supply of electricity is critical for our modern society and any large scale disturbances of the electrical system causes substantial costs. In 2015, one overloaded transmission line caused a cascading failure in the Turkish power grid, affecting ... More

Fixation properties of rock-paper-scissors games in fluctuating populationsJul 11 2019Jul 12 2019Rock-paper-scissors games metaphorically model cyclic dominance in ecology and microbiology. In a static environment, these models are characterized by fixation probabilities obeying two different "laws" in large and small well-mixed populations. Here, ... More

Fixation properties of rock-paper-scissors games in fluctuating populationsJul 11 2019Rock-paper-scissors games metaphorically model cyclic dominance in ecology and microbiology. In a static environment, these models are characterized by fixation probabilities obeying two different "laws" in large and small well-mixed populations. Here, ... More

Multivaluedness Aspects in Self-organization, Complexity and Computations Investigations by Strong AnticipationJul 09 2019Since the introduction of strong anticipation by D.~Dubois the numerous investigations of concrete systems have been proposed. In proposed paper the new examples of discrete dynamical systems with anticipation are considered. The mathematical formulation ... More

Dynamics of Reaction-Diffusion Oscillators in Star NetworksJul 09 2019We experimentally and theoretically investigate the dynamics of inhibitory coupled self-driven oscillators on a star network in which a single central hub node is connected to $k$ peripheral arm nodes. The system consists of water-in-oil Belousov-Zhabotinsky ... More

Self-Localized Solitons of the Nonlinear Wave Blocking ProblemJul 08 2019Jul 15 2019In this paper, we propose a numerical framework to study the shapes, dynamics and the stabilities of the self-localized solutions of the nonlinear wave blocking problem. With this motivation, we use the nonlinear Schr\"odinger equation (NLSE) derived ... More