Robust Weak Chimeras in Oscillator Networks with Delayed Linear and Quadratic Interactions
Physical Review Letters
American Physical Society
© 2017 American Physical Society
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.
CB has received funding from the People Programme (Marie Curie Actions) of the European Union’s Seventh Framework Programme (FP7/2007–2013) under REA grant agreement no. 626111. IZK acknowledges support from National Science Foundation CHE-1465013 grant.
This is the author's accepted version. The final version is available from APS via the DOI in this record
Vol. 119, article 168301