Fluctuational transitions through a fractal basin boundary

Abstract

Fluctuational transitions between two co-existing chaotic attractors, separated by a fractal basin boundary, are studied in a discrete dynamical system. It is shown that the mechanism for such transitions is determined by a hierarchy of homoclinic points. The most probable escape path from the chaotic attractor to the fractal boundary is found using both statistical analyses of fluctuational trajectories and the Hamiltonian theory of fluctuations.

4 pages; 3 figures

Cited by in corpus (7)

• Topological insight into the non-Arrhenius mode hopping of semiconductor ring lasers
• Escaping from nonhyperbolic chaotic attractors
• Nonlinear, Nonequilibrium and Collective Dynamics in a Periodically Modulated Cold Atom System
• Stability Properties of Nonhyperbolic Chaotic Attractors under Noise
• Computing non-equilibrium trajectories by a deep learning approach
• Proliferation of unstable states and their impact on stochastic out-of-equilibrium dynamics
• Explore Stochastic Instabilities of Periodic Points by Transition Path Theory