Flooding of regular islands by chaotic states

Details Flooding of regular islands by chaotic states Flooding of regular islands by chaotic states

2004-09-14

arxiv.org/abs/nlin/0409029v2

Physical Review Letters {\bf 94}, 054102 (2005)

Nonlinear Sciences

Chaotic Dynamics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.94.054102

We introduce a criterion for the existence of regular states in systems with a mixed phase space. If this condition is not fulfilled chaotic eigenstates substantially extend into a regular island. Wave packets started in the chaotic sea progressively flood the island. The extent of flooding by eigenstates and wave packets increases logarithmically with the size of the chaotic sea and the time, respectively. This new effect can be observed for island chains with just 10 islands.

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