Mapping amplitude-cluster domain coexistence to bistable media mechanisms

Determine how domain coexistence generated by amplitude clusters in globally coupled oscillatory media can be mapped onto the mechanisms of domain coexistence in bistable media with negative global coupling, clarifying the correspondence between coupling-induced states in oscillatory systems and element-level bistability in bistable systems.

Background

The authors compare amplitude cluster patterns in oscillatory media with domain patterns in bistable media under negative global coupling. They point out similarities, such as tunable domain ratios via a global constraint, but emphasize a key difference: in the oscillatory case, distinct states arise from nonlinear global cross-coupling, whereas in bistable systems, coexisting states are determined by local element bistability and the global coupling stabilizes their coexistence.

A precise mapping between these two mechanisms would clarify whether and how the structural and dynamical features of oscillatory media relate to those of bistable systems.