scispace - formally typeset
Open AccessJournal ArticleDOI

Chimera states: Coexistence of coherence and incoherence in networks of coupled oscillators

Reads0
Chats0
TLDR
A review of the history of research on chimera states and major advances in understanding their behavior can be found in this article, where the authors highlight major advances on understanding their behaviour.
Abstract
A chimera state is a spatio-temporal pattern in a network of identical coupled oscillators in which synchronous and asynchronous oscillation coexist. This state of broken symmetry, which usually coexists with a stable spatially symmetric state, has intrigued the nonlinear dynamics community since its discovery in the early 2000s. Recent experiments have led to increasing interest in the origin and dynamics of these states. Here we review the history of research on chimera states and highlight major advances in understanding their behaviour.

read more

Citations
More filters
Journal ArticleDOI

Hidden attractors in dynamical systems

TL;DR: In this paper, the authors discuss the most representative examples of hidden attractors, discuss their theoretical properties and experimental observations, and also describe numerical methods which allow identification of the hidden attractor.
Journal ArticleDOI

Chimera states in neuronal networks: A review.

TL;DR: Chimera states have attracted ample attention of researchers that work at the interface of physics and life sciences as discussed by the authors, focusing on the relevance of different synaptic connections, and on the effects of different network structures and coupling setups.
Journal ArticleDOI

Mathematical Frameworks for Oscillatory Network Dynamics in Neuroscience

TL;DR: In this article, a set of mathematical tools that are suitable for addressing the dynamics of oscillatory neural networks, broadening from a standard phase oscillator perspective to provide a practical framework for further successful applications of mathematics to understand network dynamics in neuroscience.
Journal ArticleDOI

Synchronization patterns and chimera states in complex networks: Interplay of topology and dynamics

TL;DR: In this article, a plethora of novel chimera patterns arise if one goes beyond the Kuramoto phase oscillator model, which consist of coexisting spatial domains of coherent and incoherent dynamics in networks of identical oscillators.
References
More filters
Book

Synchronization: A Universal Concept in Nonlinear Sciences

TL;DR: This work discusseschronization of complex dynamics by external forces, which involves synchronization of self-sustained oscillators and their phase, and its applications in oscillatory media and complex systems.
Book

The geometry of biological time

TL;DR: The Varieties of Phaseless Experience: In Which the Geometrical Orderliness of Rhythmic Organization Breaks Down in Diverse Ways is presented.
Journal ArticleDOI

The Kuramoto model: A simple paradigm for synchronization phenomena

TL;DR: In this paper, a review of the Kuramoto model of coupled phase oscillators is presented, with a rigorous mathematical treatment, specific numerical methods, and many variations and extensions of the original model that have appeared in the last few years.
Journal ArticleDOI

From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators

TL;DR: In this article, the authors review 25 years of research on the Kuramoto model, highlighting the false turns as well as the successes, but mainly following the trail leading from Kuramoto's work to Crawford's recent contributions.
Journal ArticleDOI

Biological rhythms and the behavior of populations of coupled oscillators

TL;DR: It is proposed that self-entraining communities of this sort may exist within individual metazoan animals and plants as the basis of the observed diurnal coordination of their physiological process.
Related Papers (5)