TY - JOUR
T1 - Weak external fluctuations on the rotating unstable Langevin-type dynamics
AU - Jiménez-Aquino, J. I.
AU - Romero-Bastida, M.
N1 - Funding Information:
Financial support from Consejo Nacional de Ciencia y Tecnología (CONACYT) México is acknowledged.
PY - 2005/8/15
Y1 - 2005/8/15
N2 - 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.
AB - 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.
KW - Mean passage time (MPT)
KW - Quasideterministic (QO)
UR - http://www.scopus.com/inward/record.url?scp=19944378422&partnerID=8YFLogxK
U2 - 10.1016/j.physa.2005.02.017
DO - 10.1016/j.physa.2005.02.017
M3 - Artículo
SN - 0378-4371
VL - 354
SP - 68
EP - 76
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 1-4
ER -