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Delay Controlled Partial Synchronization in Complex Networks pp 53–70Cite as

Chimeras in Networks Without Delay

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Abstract

The aim of this Chapter is to study chimera states in a network of non-locally coupled Stuart-Landau oscillators. Motivated by former studies, we discuss how a specific set of initial conditions initially separating the network into distinct domains gives rise to a clustered chimera state. Furthermore, the interplay between these initial conditions and non-local coupling is studied. Considering the dynamics of chimera states, our argument shows how “flipped” profiles of the mean phase velocities can be explained by a change of sign of the coupling phase. These profiles are believed to be a distinct feature of (phase) chimeras, at least in the case of non-locally coupled systems. Extending our reasoning, we show that this argument intuitively explains the transition from phase- to amplitude-mediated chimera state as a result of increasing coupling strength.

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  1. Institut für Theoretische Physik, Technische Universität Berlin, Berlin, Germany

    Jakub Sawicki

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Sawicki, J. (2019). Chimeras in Networks Without Delay. In: Delay Controlled Partial Synchronization in Complex Networks. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-030-34076-6_4

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