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Chimera states, i.e., dynamical states composed of coexisting synchronous and asynchronous oscillations, have been reported to exist in diverse topologies of oscillators in simulations and experiments. Two-population networks with distinct…

Adaptation and Self-Organizing Systems · Physics 2021-11-24 Seungjae Lee , Katharina Krischer

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…

Chaotic Dynamics · Physics 2015-02-23 Lennart Schmidt , Katharina Krischer

We show the existence of chimera-like states in two distinct groups of identical populations of globally coupled Stuart-Landau oscillators. The existence of chimera-like states occurs only for a small range of frequency difference between…

Adaptation and Self-Organizing Systems · Physics 2017-03-08 K. Premalatha , V. K. Chandrasekar , M. Senthilvelan , M. Lakshmanan

We study the influence of nonuniform motion of oscillators in a ring chain with nonlocal coupling on their collective dynamics and reveal the mechanism behind the emergence of an atypical chimera state in such systems. The mechanism relies…

Pattern Formation and Solitons · Physics 2025-12-02 Pavel A. Shcherbakov , Lev A. Smirnov , Vasily A. Kostin , Maxim I. Bolotov , Grigory V. Osipov

Chimera states are complex spatio-temporal patterns in which domains of synchronous and asynchronous dynamics coexist in coupled systems of oscillators. We examine how the character of the individual elements influences chimera states by…

Adaptation and Self-Organizing Systems · Physics 2015-09-02 Iryna Omelchenko , Anna Zakharova , Philipp Hoevel , Julien Siebert , Eckehard Schoell

A prominent type of collective dynamics in networks of coupled oscillators is the coexistence of coherently and incoherently oscillating domains, known as chimera states. Chimera states exhibit various macroscopic dynamics with different…

Chaotic Dynamics · Physics 2023-05-17 Seungjae Lee , Katharina Krischer

Chimera states are an example of intriguing partial synchronization patterns emerging in networks of identical oscillators. They consist of spatially coexisting domains of coherent (synchronized) and incoherent (desynchronized) dynamics. We…

Adaptation and Self-Organizing Systems · Physics 2017-08-02 Jakub Sawicki , Iryna Omelchenko , Anna Zakharova , Eckehard Schöll

Systems of nonlocally coupled oscillators can exhibit complex spatio-temporal patterns, called chimera states, which consist of coexisting domains of spatially coherent (synchronized) and incoherent dynamics. We report on a novel form of…

Adaptation and Self-Organizing Systems · Physics 2018-02-02 Iryna Omelchenko , Oleh E. Omel'chenko , Philipp Hövel , Eckehard Schöll

How higher-order interactions influence dynamical behavior in networks of coupled chaotic oscillators remains an open question. To address this, we investigate emergent dynamical behaviors in a wheel network of R\"ossler and Lorenz…

Chaotic Dynamics · Physics 2026-01-06 Ashwathi Poolamanna , Medha Bhindwar , Chandrakala Meena

A large variety of rhythms are observed in nature. Rhythms such as electroencephalogram signals in the brain can often be regarded as interacting. In this study, we investigate the dynamical properties of rhythmic systems in two populations…

Chaotic Dynamics · Physics 2016-07-20 Yu Terada , Toshio Aoyagi

This Letter investigates the nature of synchronization in multilayered and multiplexed populations in which the interlayer interactions are randomly pinned. First, we show that a multilayer network constructed by setting up all-to-all…

Adaptation and Self-Organizing Systems · Physics 2022-04-20 Ajay Deep Kachhvah , Sarika Jalan

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…

Adaptation and Self-Organizing Systems · Physics 2021-12-28 Sneha Kachhara , G. Ambika

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 show that chimera patterns can be induced by noise in nonlocally coupled neural networks in the excitable regime. In contrast to classical chimeras, occurring in noise-free oscillatory networks, they have features of two phenomena:…

Adaptation and Self-Organizing Systems · Physics 2016-11-11 Anna Zakharova , Nadezhda Semenova , Vadim Anishchenko , Eckehard Schöll

We report on a new type of chimera state that attracts almost all initial conditions and exhibits power-law switching behavior in networks of coupled oscillators. Such switching chimeras consist of two symmetric configurations, which we…

Disordered Systems and Neural Networks · Physics 2020-02-28 Yuanzhao Zhang , Zachary G. Nicolaou , Joseph D. Hart , Rajarshi Roy , Adilson E. Motter

The emergence of synchronization in a network of coupled oscillators is a fascinating topic in various scientific disciplines. A coupled oscillator network is characterized by a population of heterogeneous oscillators and a graph describing…

Optimization and Control · Mathematics 2015-06-05 Florian Dörfler , Michael Chertkov , Francesco Bullo

The recently discovered chimera state involves the coexistence of synchronized and desynchronized states for a group of identical oscillators. This fascinating chimera state has until now been found only in non-local or globally coupled…

Pattern Formation and Solitons · Physics 2016-03-23 Bing-Wei Li , Hans Dierckx

Symmetry broken states arise naturally in oscillatory networks. In this Letter, we investigate chaotic attractors in an ensemble of four mean-coupled Stuart-Landau oscillators with two oscillators being synchronized. We report that these…

Chaotic Dynamics · Physics 2018-05-30 Felix P. Kemeth , Sindre W. Haugland , Katharina Krischer

The emergence of synchronization in a network of coupled oscillators is a pervasive topic in various scientific disciplines ranging from biology, physics, and chemistry to social networks and engineering applications. A coupled oscillator…

Optimization and Control · Mathematics 2012-09-07 Florian Dörfler , Francesco Bullo

Nonlinear systems possessing nonattracting chaotic sets, such as chaotic saddles, embedded in their state space may oscillate chaotically for a transient time before eventually transitioning into some stable attractor. We show that these…

Chaotic Dynamics · Physics 2023-07-14 Everton S. Medeiros , Oleh Omel'chenko , Ulrike Feudel
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