Homoclinic Structure Controls Chaotic Tunnelling

Details Homoclinic Structure Controls Chaotic Tunnelling Homoclinic Structure Controls Chaotic Tunnelling

1998-10-22

arxiv.org/abs/chao-dyn/9810027v2

Phys. Rev. Lett., vol. 82, 5237 (1999).

Nonlinear Sciences

Chaotic Dynamics

Clarified discussion. To appear in PRL

Scientific paper

10.1103/PhysRevLett.82.5237

Tunnelling from a chaotic potential well is explained in terms of a set of complex periodic orbits which contain information about the real dynamics inside the well as well as the complex dynamics under the confining barrier. These orbits are associated with trajectories which are homoclinic to a real trajectory emerging from the optimal tunnelling path. The theory is verified by considering a model double-well problem.

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