Semiclassical approximation for a nonlinear oscillator with dissipation

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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Scientific paper

10.1103/PhysRevE.70.066209

An $S$--matrix approach is developed for the chaotic dynamics of a nonlinear
oscillator with dissipation. The quantum--classical crossover is studied in the
framework of the semiclassical expansion for the $S$--matrix. Analytical
expressions for the braking time and the $S$--matrix are obtained.

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