Escaping from nonhyperbolic chaotic attractors

Details Escaping from nonhyperbolic chaotic attractors Escaping from nonhyperbolic chaotic attractors

2003-09-03

arxiv.org/abs/nlin/0309008v2

Phys. Rev. Lett. 92, 234101, (2004)

Nonlinear Sciences

Chaotic Dynamics

replaced with published version

Scientific paper

10.1103/PhysRevLett.92.234101

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{\'e}non and the Ikeda map and can be implemented straightforwardly to experimental data.

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