Stochastic Sensitivity Analysis and Noise-Induced Chaos in 2D Logistic-Type Model / Bashkirtseva Irina,Ekaterinchuk Ekaterina,Ryashko Lev // INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. - 2016. - V. 26, l. 4.

ISSN/EISSN:
0218-1274 / 1793-6551
Type:
Article
Abstract:
We study the dynamics of stochastically forced 2D logistic-type discrete model. Under random disturbances, stochastic trajectories leaving deterministic attractors can form complex dynamic regimes that have no analogue in the deterministic case. In this paper, we analyze an impact of the random noise on 2D logistic-type model in the bistability zones with coexisting attractors (equilibria, closed invariant curves, discrete cycles). For the constructive probabilistic analysis of the random states distribution around such attractors, a stochastic sensitivity functions technique and method of confidence domains are used. For the considered model, on the base of the suggested approach, a phenomenon of noise-induced transitions between attractors and the generation of chaos are analyzed.
Author keywords:
Logistic model; stochastic sensitivity; bifurcations; chaos DISCRETE-TIME-SYSTEMS; MULTISTABILITY; INTERMITTENCY; ATTRACTOR; DYNAMICS
DOI:
10.1142/S021812741650053X
Web of Science ID:
ISI:000375388700004
Соавторы в МНС:
Другие поля
Поле Значение
Month APR
Publisher WORLD SCIENTIFIC PUBL CO PTE LTD
Address 5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE
Language English
Article-Number 1650053
EISSN 1793-6551
Keywords-Plus DISCRETE-TIME-SYSTEMS; MULTISTABILITY; INTERMITTENCY; ATTRACTOR; DYNAMICS
Research-Areas Mathematics; Science \& Technology - Other Topics
Web-of-Science-Categories Mathematics, Interdisciplinary Applications; Multidisciplinary Sciences
Author-Email lev.ryashko@urfu.ru
Funding-Acknowledgement Russian Science Foundation {[}N 16-11-10098]
Funding-Text The work was supported by Russian Science Foundation (N 16-11-10098).
Number-of-Cited-References 32
Usage-Count-Since-2013 8
Journal-ISO Int. J. Bifurcation Chaos
Doc-Delivery-Number DL1JP