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Chimera is a fascinating phenomenon of coexisting synchronized and desynchronized behaviour that was discovered in networks of nonlocally coupled identical phase oscillators over ten years ago. Since then, chimeras were found in numerous…

混沌动力学 · 物理学 2015-06-22 Andrea Vüllings , Johanne Hizanidis , Iryna Omelchenko , Philipp Hövel

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

The coexistence of coherent and incoherent domains, namely the appearance of chimera states, is being studied extensively in many contexts of science and technology since the past decade, though the previous studies are mostly built on the…

混沌动力学 · 物理学 2019-02-05 Srilena Kundu , Bidesh K. Bera , Dibakar Ghosh , M. Lakshmanan

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

Formation of diverse patterns in spatially extended reaction-diffusion systems is an important aspect of study which is pertinent to many chemical and biological processes. Of special interest is the peculiar phenomenon of chimera state…

适应与自组织系统 · 物理学 2021-06-16 Srilena Kundu , Paulsamy Muruganandam , Dibakar Ghosh , M. Lakshmanan

Interaction within an ensemble of coupled nonlinear oscillators induces a variety of collective behaviors. One of the most fascinating is a chimera state which manifests the coexistence of spatially distinct populations of coherent and…

适应与自组织系统 · 物理学 2020-08-18 Nikita Frolov , Vladimir Maksimenko , Soumen Majhi , Sarbendu Rakshit , Dibakar Ghosh , Alexander Hramov

A kinetic one-dimensional Ising model on a ring evolves according to a generalization of Glauber rates, such that spins at even (odd) lattice sites experience a temperature $T_{e}$ ($T_{o}$). Detailed balance is violated so that the spin…

统计力学 · 物理学 2009-11-07 B. Schmittmann , F. Schmueser

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 is a relatively new emerging phenomenon where coexistence of synchronous and asynchronous state is observed in symmetrically coupled dynamical units. We report observation of the chimera state in multiplex networks where individual…

混沌动力学 · 物理学 2016-10-27 Saptarshi Ghosh , Sarika Jalan

Chimera state is a recently discovered dynamical phenomenon in arrays of nonlocally coupled oscillators, that displays a self-organized spatial pattern of co-existing coherence and incoherence. We discuss the appearance of the chimera…

In the present article, we demonstrate the emergence and existence of the spiral wave chimera-like transient pattern in coupled ecological systems, composed of prey-predator patches, where the patches are connected in a three-dimensional…

适应与自组织系统 · 物理学 2022-08-02 Bidesh K. Bera , Srilena Kundu , Paulsamy Muruganandam , Dibakar Ghosh , M. Lakshmanan

Arrays of identical limit-cycle oscillators have been used to model a wide variety of pattern-forming systems, such as neural networks, convecting fluids, laser arrays, and coupled biochemical oscillators. These systems are known to exhibit…

斑图形成与孤子 · 物理学 2013-06-13 Daniel M. Abrams , Steven H. Strogatz

Here we study the emergence of chimera states, a recently reported phenomenon referring to the coexistence of synchronized and unsynchronized dynamical units, in a population of Morris-Lecar neurons which are coupled by both electrical and…

适应与自组织系统 · 物理学 2020-03-05 Ali Calim , Joaquin J. Torres , Mahmut Ozer , Muhammet Uzuntarla

Chimera state is defined as a mixed type of collective state in which synchronized and desynchronized subpopulations of a network of coupled oscillators coexist and the appearance of such anomalous behavior has strong connection to diverse…

适应与自组织系统 · 物理学 2018-02-07 Srilena Kundu , Soumen Majhi , Bidesh K. Bera , Dibakar Ghosh , M. Lakshmanan

To investigate novel aspects of pattern formation in spin systems, we use a mapping between reactive concentrations in a reaction-diffusion system and spin orientations in a dynamic multiple-spin Ising model. While pattern formation in…

适应与自组织系统 · 物理学 2019-10-15 Mélody Merle , Laura Messio , Julien Mozziconacci

Collective behavior among coupled dynamical units can emerge in various forms as a result of different coupling topologies as well as different types of coupling functions. Chimera states have recently received ample attention as a…

适应与自组织系统 · 物理学 2017-05-24 Bidesh K. Bera , Soumen Majhi , Dibakar Ghosh , Matjaz Perc

Chimera states are dynamical states where regions of synchronous trajectories coexist with incoherent ones. A significant amount of research has been devoted to study chimera states in systems of identical oscillators, non-locally coupled…

斑图形成与孤子 · 物理学 2025-10-22 Riccardo Muolo , Thierry Njougouo , Lucia Valentina Gambuzza , Timoteo Carletti , Mattia Frasca

We report the occurrence of a self-emerging frequency chimera state in spatially extended systems of coupled oscillators, where the coherence and incoherence are defined with respect to the emergent frequency of the oscillations. This is…

适应与自组织系统 · 物理学 2021-12-28 Sneha Kachhara , G. Ambika

Chimera states, marked by the coexistence of order and disorder in systems of coupled oscillators, have captivated researchers with their existence and intricate patterns. Despite ongoing advances, a fully understanding of the genesis of…

适应与自组织系统 · 物理学 2024-12-10 Malbor Asllani , Alex Arenas

Chimera states consisting of domains of coherently and incoherently oscillating nonlocally-coupled phase oscillators in systems with spatial inhomogeneity are studied. The inhomogeneity is introduced through the dependence of the oscillator…

斑图形成与孤子 · 物理学 2015-06-23 Jianbo Xie , Hsien-Ching Kao , Edgar Knobloch
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