Weak external fluctuations on the rotating unstable Langevin-type dynamics

J.I. Jiménez-Aquino and M. Romero-Bastida

Physica A: Statistical Mechanics and its Applications, 2005, vol. 354, issue C, 68-76

Abstract: The matrix formalism of quasi-deterministic (QD) approach is developed to characterize, through the statistical properties of the passage time distributions, the rotating unstable Langevin-type dynamics under the influence of weak external fluctuations. The theory is developed for those two variable systems by assuming a phase diffusion model for the fluctuating external force. The proposal is applied to the same laser system studied by Dellunde et al. [Opt. Commun. 109 (1994) 435] and shows the conditions, in the appropriate dynamical representation, under which the rotational effects of the laser system are not exhibited in the theoretical description of this reference.

Keywords: Quasideterministic (QO); Mean passage time (MPT) (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:354:y:2005:i:c:p:68-76

DOI: 10.1016/j.physa.2005.02.017

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