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This study delves into the emergence of collective behaviors within a network comprising interacting cells. Each cell integrates a fixed number of neurons governed by an activation gradient based on Hopfield's model. The intra-cell…

Pattern Formation and Solitons · Physics 2025-01-13 Adamdine M. Abdoulaye , Venceslas Nguefoue Meli , Steve J. Kongni , Thierry Njougouo , Patrick Louodop

We study the existence of chimera states in pulse-coupled networks of bursting Hindmarsh-Rose neurons with nonlocal, global and local (nearest neighbor) couplings. Through a linear stability analysis, we discuss the behavior of stability…

Chaotic Dynamics · Physics 2016-02-17 Bidesh K. Bera , Dibakar Ghosh , M. Lakshmanan

Chimera states -- named after the mythical beast with a lion's head, a goat's body, and a dragon's tail -- correspond to spatiotemporal patterns characterised by the coexistence of coherent and incoherent domains in coupled systems. They…

We investigate the interplay between phase lag and adaptive learning rules in a network of identical pendulum oscillators, where the coupling strengths evolve dynamically in response to the oscillators' states. Specifically, we examine two…

Adaptation and Self-Organizing Systems · Physics 2026-03-12 R. Anand , V. K. Chandrasekar , R. Suresh

We consider chimera states of coupled identical phase oscillators where some oscillators are phase synchronized while others are desynchronized. It is known that chimera states of non-locally coupled Kuramoto--Sakaguchi oscillators in…

Pattern Formation and Solitons · Physics 2019-12-02 Seungjae Lee , Young Sul Cho

We introduce a general mechanism for amplitude death in coupled synchronizable dynamical systems. It is known that when two systems are coupled directly, they can synchronize under suitable conditions. When an indirect feedback coupling…

Chaotic Dynamics · Physics 2011-10-27 V. Resmi , G. Ambika , R. E. Amritkar

We demonstrate that chimera behavior can be observed in ensembles of phase oscillators with unidirectional coupling. For a small network consisting of only three identical oscillators (cyclic triple), tiny {\it chimera islands} arise in the…

Chaotic Dynamics · Physics 2021-10-27 Patrycja Jaros , Roman Levchenko , Tomasz Kapitaniak , Yuri Maistrenko

We study how a chimera state in a one-dimensional medium of non-locally coupled oscillators responses to a periodic external force. On a macroscopic level, where chimera can be considered as an oscillating object, forcing leads to…

Pattern Formation and Solitons · Physics 2020-11-04 Maxim I. Bolotov , Lev A. Smirnov , Grigory V. Osipov , Arkady Pikovsky

Chimera states occur in networks of coupled oscillators, and are characterized by having some fraction of the oscillators perfectly synchronized, while the remainder are desynchronized. Most chimera states have been observed in networks of…

Chaotic Dynamics · Physics 2015-05-19 Carlo R. Laing

The dynamics of a large array of coupled semiconductor lasers is studied for a nonlocal coupling scheme. Our focus is on chimera states, a self-organized spatio-temporal pattern of co-existing coherence and incoherence. In laser systems,…

Pattern Formation and Solitons · Physics 2017-09-27 J. Shena , J. Hizanidis , P. Hövel , G. P. Tsironis

The dynamics of two symmetrically coupled populations of rotators is studied for different values of the inertia. The system is characterized by different types of solutions, which all coexist with the fully synchronized state. At small…

Disordered Systems and Neural Networks · Physics 2016-01-05 Simona Olmi

We study a network of three populations of coupled phase oscillators with identical frequencies. The populations interact nonlocally, in the sense that all oscillators are coupled to one another, but more weakly to those in neighboring…

Adaptation and Self-Organizing Systems · Physics 2012-02-14 Erik Andreas Martens

Understanding and controlling the mechanisms behind synchronization phenomena is of paramount importance in nonlinear science. In particular, the emergence of chimera states, patterns in which order and disorder coexist simultaneously,…

Pattern Formation and Solitons · Physics 2025-10-22 Riccardo Muolo , Lucia Valentina Gambuzza , Hiroya Nakao , Mattia Frasca

Chimera states have been studied in 1D arrays, and a variety of different chimera states have been found using different models. Research has recently been extended to 2D arrays but only to phase models of them. Here, we extend it to a…

Chaotic Dynamics · Physics 2017-01-23 Changhai Tian , Xiyun Zhang , Zhenhua Wang , Zonghua Liu

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…

Pattern Formation and Solitons · Physics 2026-05-12 Rommel Tchinda Djeudjo , Riccardo Muolo , Thierry Njougouo , Timoteo Carletti

In this letter, we experimentally demonstrate an efficient scheme to regulate the behaviour of coupled nonlinear oscillators through dynamic control of their interaction. It is observed that introducing intermittency in the interaction term…

Adaptation and Self-Organizing Systems · Physics 2022-07-20 Shiva Dixit , Manaoj Aravind , P. Parmananda

The emergence of rich dynamical phenomena in coupled self-sustained oscillators, primarily synchronization and amplitude death, has attracted considerable interest in several fields of science and engineering. Here, we present a…

Adaptation and Self-Organizing Systems · Physics 2022-08-10 Sneha Srikanth , Samadhan A. Pawar , Krishna Manoj , R. I. Sujith

The synchronization of coupled oscillators is a fascinating manifestation of self-organization that nature employs to orchestrate essential processes of life, such as the beating of the heart. Although it was long thought that synchrony or…

Adaptation and Self-Organizing Systems · Physics 2013-07-29 Erik Andreas Martens , Shashi Thutupalli , Antoine Fourrière , Oskar Hallatschek

We investigate the emergence of localized coherent behavior in a system consisting of two populations of social agents possessing a condition for non-interacting states, mutually coupled through global interaction fields. As an example of…

Physics and Society · Physics 2013-12-31 J. C. González-Avella , M. G. Cosenza , M. San Miguel

Chimera states are synchronization patterns in which coherent and incoherent regions coexist in systems of identical oscillators. This elusive phenomenon has attracted significant interest and has been widely analyzed, revealing several…

Pattern Formation and Solitons · Physics 2026-04-24 Rommel Tchinda Djeudjo , Timoteo Carletti , Hiroya Nakao , Riccardo Muolo