Robust Weak Chimeras in Oscillator Networks with Delayed Linear and Quadratic Interactions
Bick, C; Sebek, M; Kiss, IZ
Date: 19 October 2017
Journal
Physical Review Letters
Publisher
American Physical Society
Publisher DOI
Abstract
We present an approach to generate chimera dynamics (localized frequency synchrony) in oscillator networks with two groups of (at least) two elements using a general method based on delayed interaction with linear and quadratic terms. The coupling design yields robust chimeras through a phase-model based design of the delay and the ...
We present an approach to generate chimera dynamics (localized frequency synchrony) in oscillator networks with two groups of (at least) two elements using a general method based on delayed interaction with linear and quadratic terms. The coupling design yields robust chimeras through a phase-model based design of the delay and the ratio of linear and quadratic components of the interactions. We demonstrate the method in the Brusselator model and experiments with electrochemical oscillators. The technique opens the way to directly bridge theory for phase models and the dynamics of real-world oscillator networks.
Mathematics and Statistics
Faculty of Environment, Science and Economy
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