Stochastic description of delayed systems

被引：6
|
作者：
Lafuerza, L. F. [1 ]
Toral, R. [1 ]
机构：
[1] CSIC UIB, Inst Fis Interdisciplinar & Sistmas Complejos, IFISC, Palma De Mallorca 07122, Spain
来源：
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2013年 / 371卷 / 1999期
关键词：
stochastic processes; delay; master equations; NOISE; APPROXIMATION;
D O I：
10.1098/rsta.2012.0458
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We study general stochastic birth and death processes including delay. We develop several approaches for the analytical treatment of these non-Markovian systems, valid, not only for constant delays, but also for stochastic delays with arbitrary probability distributions. The interplay between stochasticity and delay and, in particular, the effects of delay in the fluctuations and time correlations are discussed.
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页数：16
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