Chimera Patterns in Networks by Anna Zakharova

Author:Anna Zakharova
Language: eng
Format: epub
ISBN: 9783030217143
Publisher: Springer International Publishing

Similar results have been discussed in Sect. 3.3 for the case without time-delayed feedback [132]. Therefore, for the strength and time delay the feedback does not have an impact on the nullclines. Consequently, coherence-resonance chimeras observed for small time delay of the feedback are the same as in the case without feedback.

3.4.2 Dynamic Regimes in the Presence of Time-Delayed Feedback

Since our main goal is to study the impact of time-delayed feedback, we now choose the parameters of the system in the regime of coherence-resonance chimera and vary only the feedback parameters and . For fixed feedback strength we observe the change of dynamic regimes by tuning the delay time . For all the nodes of the network spike coherently, i.e., in-phase synchronization occurs (Fig. 3.15a). The feedback with shifts the system into the regime which is incoherent in space and periodic in time: all the nodes demonstrate spiking behavior, but the spiking events of the neighboring nodes are not correlated (Fig. 3.15b).

Fig. 3.15Space-time plots for the variable (left panels) and local order parameter in the regime of a complete in-phase synchronization for , and b spatial incoherence for , . Other parameters: , , , , , , [133]

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