Competition between stable states in spatially-distributed systems

Competition between stable states in spatially-distributed systems

Publication Type:

Journal Article

Authors:

Kapral, R.; Oppo, G.-L.

Source:

Physica D: Nonlinear Phenomena, Volume 23, Number 1-3, p.455-463 (1986)

URL:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-46149127968&doi=10.1016%2f0167-2789%2886%2990151-X&partnerID=40&md5=41fab11798876df647eca508b838d39e

Abstract:

The competition between two stable states is studied in the spatial domain. The model used to investigate the phenomena consists of an array of cubic maps, coupled through diffusion terms. The uncoupled system possesses bistable steady states, which compete for territory when sites on the array are coupled. The nature of the boundary layer separating the coexisting phases is studied; its structure can vary from a simple hyperbolic-tangent form to one that exhibits nonstationary chaotic dynamics. The stability of phase patches is studied through a mean-field model. The study suggests some of the phenomena that may be found in spatio-temporal domain for systems that are capable of bistability when well-mixed. © 1986.