NDLI: Stochastic sensitivity of cycles in periodic dynamical systems

Content Provider	EDP Sciences
Author	Irina Bashkirtseva
Abstract	A non-linear dynamical system with periodic parameters is considered in presence of random noise. A dispersion of stochastic trajectories around the deterministic cycle is studied on the base of the stochastic sensitivity analysis. For weak noise, the asymptotics of this dispersion is found in a form of periodic matrix function named by the stochastic sensitivity matrix. This matrix is a solution of the boundary value problem for some matrix linear differential equation. A mathematical analysis of this problem is carried out, and an explicit solution is presented for one-dimensional case. The elaborated mathematical method is applied to the analysis of the stochastic population model with Allee effect and periodic modulation. A dependence of the stochastic sensitivity of oscillations on the amplitude and frequency of periodic forcing is investigated. A phenomenon of the noise-induced transition from persistence to extinction is studied by confidence domains constructed on the base of the stochastic sensitivity function technique.
Starting Page	283
File Format	HTM / HTML
ISSN	14346028
e-ISSN	14346036
Issue Number	11
Journal	The European Physical Journal B
Volume Number	91
DOI	10.1140/epjb/e2018-90152-3
Alternate Webpage(s)	https://articles/epjb/abs/2018/11/b180152/b180152.html
Language	English
Publisher	EDP Sciences / Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature
Publisher Date	2018-11-01
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	© EDP Sciences / Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2018
Subject Keyword	Statistical and Nonlinear Physics
Content Type	Text
Resource Type	Article
Subject	Electronic, Optical and Magnetic Materials Condensed Matter Physics

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