Wolfram Library Archive

Courseware Demos MathSource Technical Notes
All Collections Articles Books Conference Proceedings
Title Downloads

Multi-Cluster and Traveling Chimera States in Nonlocal Phase-Coupled Oscillators

Hsien-Ching Kao
Jianbo Xie
Edgar Knobloch

Wolfram Technology Conference 2014
Conference location

Champaign, Illinois, USA

Chimera states consisting of domains of coherently and incoherently oscillating identical oscillators with nonlocal coupling are studied in Mathematica. These states usually coexist with the fully synchronized state and have a small basin of attraction. We propose a nonlocal phase-coupled model in which chimera states develop from random initial conditions. Several classes of chimera states have been found: (a) stationary multi-cluster states with evenly distributed coherent clusters, (b) stationary multi-cluster states with unevenly distributed clusters, and (c) a single cluster state traveling with a constant speed across the system. Traveling coherent states are also identified. A self-consistent continuum description of these states is provided and their stability properties are analyzed through the use of Wolfram Language. I will demonstrate how Wolfram Technologies could be applied in the research of phase-coupled oscillators systems in several calculations.

*Wolfram Technology

Downloads Download Wolfram CDF Player

Multi-Cluster and Traveling Chimera States.nb (1.1 MB) - Mathematica Notebook