Izvestiya of Saratov University.
ISSN 1817-3020 (Print)
ISSN 2542-193X (Online)

chimera state

Reflecting, Nonlocal, and Diagonal Coupling Topologies in Networks of the Coupled Dynamics Elements with Various Nature

Backgrounds and Objectives: Networks of coupled dynamical o scillators are of high interest for last decades. The interest to their dynamics greatly increases with the discovery of chimera states. The latter are characterized by the coexistence of regions with coherent and incoherent behavior. There are many works devoted to the networks with nonlocal coupling topology, but the influence of the coupling topology type has not been sufficiently studied.

Synchronization of Chimera States in Ensembles of Nonlocally Coupled Cubic Maps

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.