Scarring in a driven system with wave chaos

Details Scarring in a driven system with wave chaos Scarring in a driven system with wave chaos

2004-12-27

arxiv.org/abs/nlin/0412063v1

Nonlinear Sciences

Chaotic Dynamics

5 pages, 7 figures

Scientific paper

10.1063/1.1886645

We consider acoustic wave propagation in a model of a deep ocean acoustic waveguide with a periodic range-dependence. Formally, the wave field is described by the Schrodinger equation with a time-dependent Hamiltonian. Using methods borrowed from the quantum chaos theory it is shown that in the driven system under consideration there exists a "scarring" effect similar to that observed in autonomous quantum systems.

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