Experimental observation of chimera and cluster states in a minimal globally coupled network

Abstract

A “chimera state” is a dynamical pattern that occurs in a network of coupled identical oscillators when the symmetry of the oscillator population is broken into synchronous and asynchronous parts. We report the experimental observation of chimera and cluster states in a network of four globally coupled chaotic opto-electronic oscillators. This is the minimal network that can support chimera states, and our study provides new insight into the fundamental mechanisms underlying their formation. We use a unified approach to determine the stability of all the observed partially synchronous patterns, highlighting the close relationship between chimera and cluster states as belonging to the broader phenomenon of partial synchronization. Our approach is general in terms of network size and connectivity. We also find that chimera states often appear in regions of multistability between global, cluster, and desynchronized states.

Document Details

Document Type
Pub Defense Publication
Publication Date
Jun 23, 2016
Source ID
10.1063/1.4953662

Entities

People

  • Joseph D Hart
  • Kanika Bansal
  • Rajarshi Roy
  • Thomas E Murphy

Organizations

  • Office of Naval Research
  • United States Army Research Laboratory
  • University at Buffalo
  • University of Maryland

Tags

Fields of Study

  • Physics

Readers

  • Mathematical Modeling and Probability Theory.
  • Optical Physics and Photonics.
  • Systems Analysis and Design

Technology Areas

  • Microelectronics
  • Microelectronics - Graphene