In:
Chaos: An Interdisciplinary Journal of Nonlinear Science, AIP Publishing, Vol. 25, No. 1 ( 2015-01-01)
Abstract:
We suggest a definition for a type of chimera state that appears in networks of indistinguishable phase oscillators. Defining a “weak chimera” as a type of invariant set showing partial frequency synchronization, we show that this means they cannot appear in phase oscillator networks that are either globally coupled or too small. We exhibit various networks of four, six, and ten indistinguishable oscillators, where weak chimeras exist with various dynamics and stabilities. We examine the role of Kuramoto-Sakaguchi coupling in giving degenerate (neutrally stable) families of weak chimera states in these example networks.
Type of Medium:
Online Resource
ISSN:
1054-1500
,
1089-7682
Language:
English
Publisher:
AIP Publishing
Publication Date:
2015
detail.hit.zdb_id:
1472677-4
SSG:
11
