Robustness of chimera states for coupled FitzHugh-Nagumo oscillators.

摘要: Chimera states are complex spatio-temporal patterns that consist of coexisting domains spatially coherent and incoherent dynamics. This counterintuitive phenomenon was first observed in systems identical oscillators with symmetric coupling topology. Can one overcome these limitations? To address this question, we discuss the robustness chimera networks FitzHugh-Nagumo oscillators. Considering inhomogeneous elements regular topology, irregular topologies, demonstrate robust respect to perturbations analyze their properties as inhomogeneities increase. We find modifications topologies cause qualitative changes states: additional random links induce a shift stability regions system parameter plane, gaps connectivity matrix result change multiplicity state, hierarchical geometry induces nested regions.