Noise-induced quasiperiodicity in a ring of unidirectionally-coupled nonidentical maps

Publication date: Available online 28 February 2019Source: Physics Letters AAuthor(s): A.N. Pisarchik, I.A. Bashkirtseva, L.B. RyashkoAbstractTransitions from equilibrium to quasiperiodicity and from a two-cycle to a quasiperiodic regime are studied in a ring of unidirectionally-coupled nonidentical logistic maps. The former scenario is realized through a “soft” (Neimark–Sacker) bifurcation, while the latter through a “hard” (saddle-node) bifurcation. Special attention is paid on a noise-induced transition through “hard” bifurcation, where a phenomenon of structural stabilization of the quasiperiodic system near the bifurcation point is observed and analyzed in detail.

Source: Physics Letters A - March 1, 2019 Category: Physics Source Type: research