Attractors of randomly forced logistic model with delay: stochastic sensitivity and noise-induced transitions / Bashkirtseva Irina,Ekaterinchuk Ekaterina,Ryashko Lev // JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS. - 2016. - V. 22, l. 3. - P. 376-390.

ISSN/EISSN:

1023-6198 / 1563-5120

Type:

Article

Abstract:

We consider the time-delayed logistic model under the influence of random perturbations. A parametric analysis of stochastically forced regular attractors (equilibria, closed invariant curves, discrete cycles) of this model is performed using the stochastic sensitivity functions technique. A spatial arrangement of random states in stochastic attractors is described by confidence domains. The phenomenon of noise-induced transitions in a zone of discrete cycles is discussed.

Author keywords:

Random dynamical systems; bifurcation theory; difference equations; stochastic difference equations DISCRETE-TIME-SYSTEMS; INDUCED INTERMITTENCY; DYNAMICS; CHAOS; MAPS

DOI:

10.1080/10236198.2015.1100610

Web of Science ID:

ISI:000375012300002

Соавторы в МНС:

Другие поля

Поле	Значение
Publisher	TAYLOR \& FRANCIS LTD
Address	4 PARK SQUARE, MILTON PARK, ABINGDON OX14 4RN, OXON, ENGLAND
Language	English
EISSN	1563-5120
Keywords-Plus	DISCRETE-TIME-SYSTEMS; INDUCED INTERMITTENCY; DYNAMICS; CHAOS; MAPS
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics, Applied
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	24
Usage-Count-Last-180-days	2
Usage-Count-Since-2013	4
Journal-ISO	J. Differ. Equ. Appl.
Doc-Delivery-Number	DK6DK