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Cognitive function depends on an adaptive balance between flexible dynamics and integrative processes in distributed cortical networks. Patterns of zero-lag synchrony likely underpin numerous perceptual and cognitive functions.…

Neurons and Cognition · Quantitative Biology 2014-09-16 Leonardo L. Gollo , Michael Breakspear

In the light of the recently proposed scenario of asymmetry-induced synchronization (AISync), in which dynamical uniformity and consensus in a distributed system would demand certain asymmetries in the underlying network, we investigate…

Adaptation and Self-Organizing Systems · Physics 2018-04-11 Alberto Saa

We implement dynamical decoupling techniques to mitigate noise and enhance the lifetime of an entangled state that is formed in a superconducting flux qubit coupled to a microscopic two-level system. By rapidly changing the qubit's…

We study the phenomenological model of ensemble of two FitzHugh-Nagumo neuron-like elements with symmetric excitatory couplings. The main advantage of proposed model is the new approach to model of coupling which is implemented by smooth…

Dynamical Systems · Mathematics 2018-12-05 Alexander G. Korotkov , Alexey O. Kazakov , Tatiana A. Levanova , Grigory V. Osipov

We study the nonlinear dynamics of two delay-coupled neural systems each modelled by excitable dynamics of FitzHugh-Nagumo type and demonstrate that bistability between the stable fixed point and limit cycle oscillations occurs for…

Pattern Formation and Solitons · Physics 2015-05-13 M. A. Dahlem , G. Hiller , A. Panchuk , E. Schoell

Nonlinear complex network-coupled systems typically have multiple stable equilibrium states. Following perturbations or due to ambient noise, the system is pushed away from its initial equilibrium and, depending on the direction and the…

Adaptation and Self-Organizing Systems · Physics 2023-06-08 Melvyn Tyloo

From critical infrastructure, to physiology and the human brain, complex systems rarely occur in isolation. Instead, the functioning of nodes in one system often promotes or suppresses the functioning of nodes in another. Despite advances…

Statistical Mechanics · Physics 2019-02-20 Michael M. Danziger , Ivan Bonamassa , Stefano Boccaletti , Shlomo Havlin

We explore the influence of a block of excitable units on the existence and behavior of chimera states in a nonlocally coupled ring-network of FitzHugh-Nagumo elements. The FitzHugh-Nagumo system, a paradigmatic model in many fields from…

Pattern Formation and Solitons · Physics 2016-03-02 Thomas Isele , Johanne Hizanidis , Astero Provata , Philipp Hövel

We study the occurrence of frequency synchronised states with tunable emergent frequencies in a network of connected systems. This is achieved by the interplay between time scales of nonlinear dynamical systems connected to form a network,…

Chaotic Dynamics · Physics 2018-09-05 Kajari Gupta , G. Ambika

The emergence of collective behaviors in networks of dynamical units in pairwise interaction has been explained as the effect of diffusive coupling. How does the presence of higher-order interaction impact the onset of spontaneous or…

Adaptation and Self-Organizing Systems · Physics 2023-10-05 Fabio Della Rossa , Davide Liuzza , Francesco Lo Iudice , Pietro De Lellis

Many natural and human-made complex systems feature group interactions that adapt over time in response to their dynamic states. However, most of the existing adaptive network models fall short of capturing these group dynamics, as they…

Adaptation and Self-Organizing Systems · Physics 2024-08-23 Md Sayeed Anwar , S. Nirmala Jenifer , Paulsamy Muruganandam , Dibakar Ghosh , Timoteo Carletti

The stability of synchronised networked systems is a multi-faceted challenge for many natural and technological fields, from cardiac and neuronal tissue pacemakers to power grids. In the latter case, the ongoing transition to distributed…

Adaptation and Self-Organizing Systems · Physics 2018-11-29 Frank Hellmann , Paul Schultz , Patrycja Jaros , Roman Levchenko , Tomasz Kapitaniak , Jürgen Kurths , Yuri Maistrenko

In systems of coupled oscillators, the effects of complex signaling can be captured by time delays and phase shifts. Here, we show how time delays and phase shifts lead to different oscillator dynamics and how synchronization rates can be…

Adaptation and Self-Organizing Systems · Physics 2018-03-30 David J. Jörg , Luis G. Morelli , Saúl Ares , Frank Jülicher

We study convergence in networks of piecewise-smooth (PWS) systems that commonly arise in applications to model dynamical systems whose evolution is affected by macroscopic events such as switches and impacts. Existing approaches were…

Systems and Control · Electrical Eng. & Systems 2021-11-16 Marco Coraggio , Pietro DeLellis , S. John Hogan , Mario di Bernardo

By introducing extrinsic noise as well as intrinsic uncertainty into a network with stochastic events, this paper studies the dynamics of the resulting Markov random network and characterizes a novel phenomenon of intermittent…

Dynamical Systems · Mathematics 2021-05-26 Arno Berger , Hong Qian , Shirou Wang , Yingfei Yi

In this research report, we examine the effects of small-world network organization on spike synchronization dynamics in networks of Izhikevich spiking units. We interpolate network organizations from regular ring lattices, through the…

Neural and Evolutionary Computing · Computer Science 2013-09-24 Derek Harter

We investigate synchronization in complex networks of noisy phase oscillators. We find that, while too weak a coupling is not sufficient for the whole system to synchronize, too strong a coupling induces a nontrivial type of phase slip…

Adaptation and Self-Organizing Systems · Physics 2016-07-27 Yasuaki Kobayashi , Hiroshi Kori

The synchronization behavior of networked chaotic oscillators with periodic coupling is investigated. It is observed in simulations that the network synchronizability could be significantly influenced by tuning the coupling frequency, even…

Chaotic Dynamics · Physics 2018-07-18 Sansan Li , Na Sun , Li Chen , Xingang Wang

Contagions such as the spread of popular news stories, or infectious diseases, propagate in cascades over dynamic networks with unobservable topologies. However, "social signals" such as product purchase time, or blog entry timestamps are…

Machine Learning · Statistics 2016-12-21 Brian Baingana , Georgios B. Giannakis

We study transition to phase synchronization in an ensemble of Stuart-Landau oscillators interacting on a star network. We observe that by introducing frequency weighted coupling and time scale variations in the dynamics of nodes, system…

Chaotic Dynamics · Physics 2022-09-14 Anjuman Ara Khatun , Ruby Varshney and , Haider Hasan Jafri