Synchronization features of target wave structures with an incoherent center

• Published in: Chaos, solitons and fractals Vol. 139; p. 110002
• Main Authors: Bukh, A.V., Strelkova, G.I., Anishchenko, V.S.
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.10.2020
• Subjects: Chimera state; Multilayer networks; Nonlocal coupling; Spatiotemporal structure; Synchronization; Spatiotemporal structure; Chimera state; Synchronization; Multilayer networks; Nonlocal coupling; 34D06
• ISSN: 0960-0779; 1873-2887
• DOI: 10.1016/j.chaos.2020.110002

•Synchronization of target wave chimera structures is studied for the varying inter-layer coupling coupling parameter.•A role of the behavior of incoherent core in the synchronization effect is considered.•Target wave synchronization is considered for the first time. In the present paper we study numerically the interaction of two 2-dimensional networks each representing a lattice of coupled van der Pol oscillators. The isolated lattices can demonstrate spiral and target wave structures for the cases of no-flux boundary conditions and random initial conditions. We explore the effect of mutual synchronization of target waves and target wave chimeras for dissipative and inertial inter-layer coupling between the lattices and for local and nonlocal intra-layer coupling between the lattice oscillators. We show for the first time the possibility of complete synchronization of target wave chimera states, including synchronization of incoherent cores. Our findings demonstrate that there is a difference with synchronization of spiral wave chimera states in which incoherent cores are not completely synchronized. The obtained results can have an important application and can be particularly used to study the dynamics of cardiac muscle in biophysics.