Escaping from nonhyperbolic chaotic attractors

Abstract

We study the noise-induced escape process from chaotic attractors in nonhyperbolic systems. We provide a general mechanism of escape in the low noise limit, employing the theory of large fluctuations. Specifically, this is achieved by solving the variational equations of the auxiliary Hamiltonian system and by incorporating the initial conditions on the chaotic attractor unambiguously. Our results are exemplified with the H{é}non and the Ikeda map and can be implemented straightforwardly to experimental data.

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References in corpus (2)

• Dynamics of Activated Escape, and Its Observation in a Semiconductor Laser
• Fluctuational transitions through a fractal basin boundary

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• Stability Properties of Nonhyperbolic Chaotic Attractors under Noise
• Computing non-equilibrium trajectories by a deep learning approach
• Trace formula for activated escape in noisy maps
• Diffusion in randomly perturbed dissipative dynamics
• Hyperbolic periodic orbits in nongradient systems and small-noise-induced metastable transitions