Nonlinearity of local dynamics promotes multi-chimeras

Chaos
Iryna OmelchenkoEckehard Schöll

Abstract

Chimera states are complex spatio-temporal patterns in which domains of synchronous and asynchronous dynamics coexist in coupled systems of oscillators. We examine how the character of the individual elements influences chimera states by studying networks of nonlocally coupled Van der Pol oscillators. Varying the bifurcation parameter of the Van der Pol system, we can interpolate between regular sinusoidal and strongly nonlinear relaxation oscillations and demonstrate that more pronounced nonlinearity induces multi-chimera states with multiple incoherent domains. We show that the stability regimes for multi-chimera states and the mean phase velocity profiles of the oscillators change significantly as the nonlinearity becomes stronger. Furthermore, we reveal the influence of time delay on chimera patterns.

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Citations

Jan 15, 2016·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·V M BastidasT Brandes
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Apr 2, 2016·Physical Review Letters·Iryna OmelchenkoEckehard Schöll
Feb 17, 2018·Physical Review. E·Iryna OmelchenkoEckehard Schöll
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Mar 18, 2016·Physical Review. E·Thomas IselePhilipp Hövel
Aug 4, 2021·Chaos·Jakub SawickiEckehard Schöll

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