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

Highlights: • Dynamics of a ring of three unidirectionally-coupled nonidentical logistic maps has been analyzed. • Both "soft" and "hard" transitions to quasiperiodicity have been observed. • Noise-induced transitions from equilibrium and from two-cycle to quasiperiodicity have been discovered. • Noise-induced structural stabilization of the quasiperiodic attractor has been demonstrated. -- Abstract: Transitions 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.