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PubMed2000

Adiabatic approximation and parametric stochastic resonance in a bistable system with periodically driven barrier

In this paper we compare the analytical adiabatic exponential approximation and exact numerical description of fluctuation-induced transitions in a "quartic" potential with periodically driven barrier. We show that the adiabatic approximation gives an adequate description of the processes in a wide region of parameter space and the accuracy of the approximation improves with increasing noise intensity. For parameter values outside this region, a different kind of resonant activation, which we call parametric stochastic resonance, is observed.

Journal Article↗
PubMed2001

Stable bound states of one-dimensional autosolitons in a bistable laser.

Differential equations describing the interaction of two weakly overlapping autosolitons in the transverse section of a wide-aperture laser with a saturable absorber are derived and analyzed. The existence of in-phase and out-of-phase stable bound autosoliton states is predicted analytically and confirmed numerically.

Journal Article↗