Journal
PHYSICAL CHEMISTRY CHEMICAL PHYSICS
Volume 10, Issue 2, Pages 289-296Publisher
ROYAL SOC CHEMISTRY
DOI: 10.1039/b709867g
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The master equation approach is used to study transitions through an unstable limit cycle surrounding a stable focus in two-variable systems with three stationary states. The model considered describes a bistable thermochemical system. Two cases are studied. In the. first one transitions occur from a basin of attraction of a stable limit cycle to a basin of attraction of a stable focus surrounded by an unstable limit cycle. In the second case, stochastic trajectories cross the unstable limit cycle going from a basin of attraction of a stable node to a basin of attraction of a stable focus. Distribution functions of the first passage time between these attractors are calculated and discussed for systems with various numbers of particles. The distribution functions in both cases exhibit a multi-peak character. A. ne structure of single peaks is observed in the. first case.
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