 |
|
|
|
|
 |
 |
|
Multi-Cluster and Traveling Chimera States in Nonlocal Phase-Coupled Oscillators
|
|
|
|
|
|
|
|
|
|
|
|
Wolfram Technology Conference 2014
|
|
|
|
|
|
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.
|
|
|
|
|
|
|
|
|
|
|
|
http://www.wolfram.com/events/technology-conference/2014
|
|
|
 |
|
|
| Multi-Cluster and Traveling Chimera States.nb (1.1 MB) - Mathematica Notebook |
|
|
For the newest resources, visit Wolfram Repositories and Archives »
