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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

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…

Adaptation and Self-Organizing Systems · Physics 2020-08-18 Nikita Frolov , Vladimir Maksimenko , Soumen Majhi , Sarbendu Rakshit , Dibakar Ghosh , Alexander Hramov

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…

Chaotic Dynamics · Physics 2017-04-05 A. V. Cano , M. G. Cosenza

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 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…

Chaotic Dynamics · Physics 2015-06-22 Andrea Vüllings , Johanne Hizanidis , Iryna Omelchenko , Philipp Hövel

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…

Pattern Formation and Solitons · Physics 2015-06-23 Jianbo Xie , Hsien-Ching Kao , Edgar Knobloch

Systems of coupled oscillators have been seen to exhibit chimera states, i.e. states where the system splits into two groups where one group is phase locked and the other is phase randomized. In this work, we report the existence of chimera…

Chaotic Dynamics · Physics 2015-05-20 Chitra R Nayak , Neelima Gupte

Classical chimera states are paradigmatic examples of partial synchronization patterns emerging in nonlinear dynamics. These states are characterized by the spatial coexistence of two dramatically different dynamical behaviors, i.e.,…

Quantum Physics · Physics 2018-07-24 V. M. Bastidas , I. Omelchenko , A. Zakharova , E. Schöll , T. Brandes

Chimera states in spatially extended networks of oscillators have some oscillators synchronised while the remainder are asynchronous. These states have primarily been studied in networks with nonlocal coupling, and more recently in networks…

Pattern Formation and Solitons · Physics 2015-12-09 Carlo R. Laing

We study a system of phase oscillators with nonlocal coupling in a ring that supports self-organized patterns of coherence and incoherence, called chimera states. Introducing a global feedback loop, connecting the phase lag to the order…

Chaotic Dynamics · Physics 2015-08-03 Matthias Wolfrum , Oleh Omel'chenko , Jan Sieber

Emerging collective behavior in complex dynamical networks depends on both coupling function and underlying coupling topology. Through this perspective, we provide a brief yet profound excerpt of recent research efforts that explore how the…

Physics and Society · Physics 2021-07-29 Soumen Majhi , Sayantan Nag Chowdhury , Dibakar Ghosh

We study numerically the development of chimera states in networks of nonlocally coupled oscillators whose limit cycles emerge from a Hopf bifurcation. This dynamical system is inspired from population dynamics and consists of three…

Chimera states are complex spatio-temporal patterns that consist of coexisting domains of coherent and incoherent dynamics. We analyse chimera states in networks of Van der Pol oscillators with hierarchical coupling topology. We investigate…

Adaptation and Self-Organizing Systems · Physics 2016-03-02 Stefan Ulonska , Iryna Omelchenko , Anna Zakharova , Eckehard Schoell

We demonstrate emergence of a complex state in a homogeneous ensemble of globally coupled identical oscillators, reminiscent of chimera states in locally coupled oscillator lattices. In this regime some part of the ensemble forms a…

Chaotic Dynamics · Physics 2015-06-18 Azamat Yeldesbay , Arkady Pikovsky , Michael Rosenblum

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

Chimera states have been recently found in a variety of different coupling schemes and geometries. In most cases, the underlying coupling structure is considered to be static, while many realistic systems display significant temporal…

Adaptation and Self-Organizing Systems · Physics 2015-06-23 Arturo Buscarino , Mattia Frasca , Lucia Valentina Gambuzza , Philipp Hovel

We study collective dynamics of networks of mutually coupled identical Lorenz oscillators near subcritical Hopf bifurcation. This system shows induced multistable behavior with interesting spatio-temporal dynamics including synchronization,…

Chaotic Dynamics · Physics 2022-07-20 Anjuman Ara Khatun , Yusra Ahmed Saeed , Nirmal Punetha , Haider Hasan Jafri

Chimera states, representing a spontaneous break-up of a population of identical oscillators that are identically coupled, into sub-populations displaying synchronized and desynchronized behavior, have traditionally been found to exist in…

Chaotic Dynamics · Physics 2015-06-18 Gautam C Sethia , Abhijit Sen

This paper reports the occurrence of several chimera patterns and the associated transitions among them in a network of coupled oscillators, which are connected by a long range interaction that obeys a distance-dependent power law. This…

Chaotic Dynamics · Physics 2016-09-21 Tanmoy Banerjee , Partha Sharathi Dutta , Anna Zakharova , Eckehard Schoell

Chimera states, a symmetry-breaking spatiotemporal pattern in nonlocally coupled identical dynamical units, prevail in a variety of systems. Here, we consider a population of nonlocally coupled bicomponent phase oscillators in which…

Adaptation and Self-Organizing Systems · Physics 2018-08-10 Qionglin Dai , Kai Yang , Hongyan Cheng , Haihong Li , Fagen Xie , Junzhong Yang