химеры

Spatiotemporal Structures in an Ensemble of Nonlocally Coupled Nekorkin Maps

Authors: Bogomolov S. А., Rybalova E. V., Strelkova G. I., Anishchenko V. S.

Background and Objectives: Studying chimera states is a subject of special attention among specialists in nonlinear dynamics, and the issue on the mechanisms for implementing chimeras is today one of the topic directions. In the paper we consider the mechanism for realizing a chimera state regime which is based on the so-called “solitary states” (SSC) and is actively discussed by experts. The problem is solved by analyzing the dynamics of a one-dimensional ring of nonlocally coupled discrete-time systems.

Synchronization of Chimera States in Ensembles of Nonlocally Coupled Cubic Maps

Authors: Anishchenko V. S., Kholuianova I. А., Bogomolov S. А.

Background and Objectives: Effects of mutual and external synchronization of chimera states are studied in two coupled ensembles of discrete maps. Each of the ensembles is a onedimensional ring of nonlocally coupled cubic maps in the chaotic oscillation mode. In order to create differences in the dynamics of the ensembles when there is no coupling between them, a mismatch is introduced in the parameters of the individual oscillators of the first and second rings. Effects of external and mutual synchronization of chimera states are explored in detail.