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arxiv: nlin/0312018 · v1 · submitted 2003-12-09 · 🌊 nlin.CD

Loschmidt echo for a chaotic oscillator

classification 🌊 nlin.CD
keywords echoloschmidtchaoticoscillatorsemiclassicalapproximationcalculatedclassical
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Chaotic dynamics of a nonlinear oscillator is considered in the semiclassical approximation. The Loschmidt echo is calculated for a time scale which is of the power law in semiclassical parameter. It is shown that an exponential decay of the Loschmidt echo is due to a Lyapunov exponent and it has a pure classical nature.

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