Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2003-12-09
Nonlinear Sciences
Chaotic Dynamics
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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