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We investigate the synchronization behavior and the emergence of chimera states in a system of two interacting populations of maps possessing chaotic neural-like dynamics. We characterize four collective states on the space of coupling…

适应与自组织系统 · 物理学 2024-07-31 V. J. Márquez-Rodríguez , K. Tucci , M. G. Cosenza

Chimera states are among the most intriguing phenomena in nonlinear dynamics, characterized by the coexistence of coherent and incoherent behavior in systems of coupled identical oscillators. Many methods have been proposed to detect…

斑图形成与孤子 · 物理学 2026-05-12 Rommel Tchinda Djeudjo , Riccardo Muolo , Thierry Njougouo , Timoteo Carletti

Chimera-like states are manifested through the coexistence of synchronous and asynchronous dynamics and have been observed in various systems. To analyze the role of network topology in giving rise to chimera-like states we study a…

斑图形成与孤子 · 物理学 2017-04-20 Bo Li , David Saad

We show that chimera states, where differentiated subsets of synchronized and desynchronized dynamical elements coexist, can emerge in networks of hyperbolic chaotic oscillators subject to global interactions. As local dynamics we employ…

混沌动力学 · 物理学 2017-04-05 A. V. Cano , M. G. Cosenza

The coexistence of coherently and incoherently oscillating parts in a system of identical oscillators with symmetrical coupling, i.e., a chimera state, is even observable with uniform global coupling. We address the question of the…

混沌动力学 · 物理学 2015-02-23 Lennart Schmidt , Katharina Krischer

The instability of mixing in the Kuramoto model of coupled phase oscillators is the key to understanding a range of spatiotemporal patterns, which feature prominently in collective dynamics of systems ranging from neuronal networks, to…

混沌动力学 · 物理学 2022-02-23 Georgi S. Medvedev , Matthew S. Mizuhara

Chimera states---the coexistence of synchrony and asynchrony in a nonlocally-coupled network of identical oscillators---are often used as a model framework for epileptic seizures. Here, we explore the dynamics of chimera states in a network…

神经元与认知 · 定量生物学 2020-12-02 Henry M. Mitchell , Peter Sheridan Dodds , J. Matthew Mahoney , Christopher M. Danforth

Chimera 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…

适应与自组织系统 · 物理学 2020-06-05 Yusuke Suda , Koji Okuda

Nontrivial collective behavior may emerge from the interactive dynamics of many oscillatory units. Chimera states are chaotic patterns of spatially localized coherent and incoherent oscillations. The recently-introduced notion of a weak…

动力系统 · 数学 2016-10-10 Christian Bick , Peter Ashwin

We have investigated synchronized pattern in a network of Thomas oscillators coupled with sinusoidal nonlinear coupling. Pattern like chimera states are not only observed for many non-locally coupled oscillators but there is a signature of…

适应与自组织系统 · 物理学 2021-04-14 Vinesh Vijayan , Biplab Ganguli

Cluster synchronization is a phenomenon in which a network self-organizes into a pattern of synchronized sets. It has been shown that diverse patterns of stable cluster synchronization can be captured by symmetries of the network. Here we…

斑图形成与孤子 · 物理学 2017-08-30 Young Sul Cho , Takashi Nishikawa , Adilson E. Motter

Chimera states, states of coexistence of synchronous and asynchronous motion, have been a subject of extensive research since they were first given a name in 2004. Increased interest has lead to their discovery in ever new settings, both…

适应与自组织系统 · 物理学 2021-07-06 Sindre W. Haugland

We investigate the emergence of chimera and cluster states possessing asymmetric dynamics in globally coupled systems, where the trajectories of oscillators belonging to different subpopulations exhibit different dynamical properties. In an…

混沌动力学 · 物理学 2018-11-26 A. V. Cano , M. G. Cosenza

Cluster synchronization is a fundamental phenomenon in systems of coupled oscillators. Here, we investigate clustering patterns that emerge in a unidirectional ring of four delay-coupled electrochemical oscillators. A voltage parameter in…

动力系统 · 数学 2023-06-28 Andrew Keane , Alannah Neff , Karen Blaha , Andreas Amann , Philipp Hövel

For a network of generic oscillators with nonlocal topology and symmetry-breaking coupling we establish novel partially coherent inhomogeneous spatial patterns, which combine the features of chimera states (coexisting incongruous coherent…

适应与自组织系统 · 物理学 2015-06-18 Anna Zakharova , Marie Kapeller , Eckehard Schöll

We present a control scheme that is able to find and stabilize an unstable chaotic regime in a system with a large number of interacting particles. This allows us to track a high dimensional chaotic attractor through a bifurcation where it…

动力系统 · 数学 2014-06-30 Jan Sieber , Oleh Omel'chenko , Matthias Wolfrum

We report the emergence of coexisting synchronous and asynchronous subpopulations of oscillators in one dimensional arrays of identical oscillators by applying a self-feedback control. When a self-feedback is applied to a subpopulation of…

混沌动力学 · 物理学 2017-08-02 Bidesh K. Bera , Dibakar Ghosh , Punit Parmananda , G. V. Osipov , Syamal K. Dana

Chimera states are firstly discovered in nonlocally coupled oscillator systems. Such a nonlocal coupling arises typically as oscillators are coupled via an external environment whose characteristic time scale $\tau$ is so small (i.e., $\tau…

斑图形成与孤子 · 物理学 2022-11-11 Lei Yang , Yuan He , Bing-Wei Li

We analyze synchronization between two interacting populations of different phase oscillators. For the important case of asymmetric coupling functions, we find a much richer dynamical behavior compared to that of symmetrically coupled…

适应与自组织系统 · 物理学 2009-11-10 Ernest Montbrió , Jürgen Kurths , Bernd Blasius

We observe chimeralike states in an ensemble of oscillators using a type of global coupling consisting of two components: attractive and repulsive mean-field feedback. We identify existence of two types of chimeralike states in a bistable…

混沌动力学 · 物理学 2016-01-20 Arindam Mishra , Chittaranjan Hens , Mridul Bose , Prodyot K. Roy , Syamal K. Dana