PMID: 15245159Jul 13, 2004Paper

Escaping from nonhyperbolic chaotic attractors

Physical Review Letters
S Kraut, Celso Grebogi

Abstract

The noise-induced escape process from a nonhyperbolic chaotic attractor is of physical and fundamental importance. We address this problem by uncovering the general mechanism of escape in the relevant low noise limit using the Hamiltonian theory of large fluctuations and by establishing the crucial role of the primary homoclinic tangency closest to the basin boundary in the dynamical process. In order to demonstrate that, we provide an unambiguous solution of the variational equations from the Hamiltonian theory. Our results are substantiated with the help of physical and dynamical paradigms, such as the Hénon and the Ikeda maps. It is further pointed out that our findings should be valid for driven flow systems and for experimental data.

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Citations

May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A N SilchenkoP V E McClintock
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Christian S RodriguesAlessandro P S de Moura
Feb 18, 2017·Physical Review. E·Zhen Chen, Xianbin Liu
Feb 9, 2005·Physical Review Letters·Suso Kraut, Celso Grebogi
Nov 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jonathan Demaeyer, Pierre Gaspard
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Christian S RodriguesCelso Grebogi

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