Weak chimeras in minimal networks of coupled phase oscillators
Ashwin, Peter; Burylko, Oleksandr
Date: 2015
Journal
Chaos
Publisher
American Institute of Physics (AIP)
Publisher DOI
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 ...
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.
Mathematics and Statistics
Faculty of Environment, Science and Economy
Item views 0
Full item downloads 0