EXCITABILITY AND COMPLEX MIXED-MODE OSCILLATIONS IN STOCHASTIC BUSINESS CYCLE MODEL / Bashkirtseva Irina,Pisarchik Alexander,Ryashko Lev,Ryazanova Tatyana // ADVANCES IN COMPLEX SYSTEMS. - 2016. - V. 19, l. 1-2.

ISSN/EISSN:

0219-5259 / 1793-6802

Type:

Article

Abstract:

Stochastically forced business cycle model is considered. We study a phenomenon of the noise-induced generation of complex mixed-mode oscillations in zones where the deterministic model exhibits a single attractor (equilibrium or limit cycle). A probabilistic mechanism of the transition from unimodal oscillations to the intermittency of small and large-amplitude stochastic oscillations is investigated on the base of the stochastic sensitivity functions technique. We show that such intermittency, connected with the nonuniformity of phase portrait, can be parametrically analyzed by the confidence domains method.

Author keywords:

Business cycles model; stochastic sensitivity function; mixed-mode oscillations; confidence domains SYSTEMS; CHAOS; NOISE; SENSITIVITY; DYNAMICS

DOI:

10.1142/S0219525915500277

Web of Science ID:

ISI:000379805900001

Соавторы в МНС:

Другие поля

Поле	Значение
Month	FEB-MAR
Publisher	WORLD SCIENTIFIC PUBL CO PTE LTD
Address	5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE
Language	English
Article-Number	1550027
EISSN	1793-6802
Keywords-Plus	SYSTEMS; CHAOS; NOISE; SENSITIVITY; DYNAMICS
Research-Areas	Mathematics; Science \& Technology - Other Topics
Web-of-Science-Categories	Mathematics, Interdisciplinary Applications; Multidisciplinary Sciences
Author-Email	irina.bashkirtseva@urfu.ru apisarch@cio.mx lev.ryashko@urfu.ru tatyana.ryazanova@urfu.ru
ORCID-Numbers	Pisarchik, Alexander/0000-0003-2471-2507
Funding-Acknowledgement	RFBR {[}14-01-00181]; Government of the Russian Federation {[}02.A03.21.0006]
Funding-Text	This work was partially supported by RFBR (14-01-00181) and Government of the Russian Federation (Act 211, Contract No. 02.A03.21.0006).
Number-of-Cited-References	31
Usage-Count-Last-180-days	1
Usage-Count-Since-2013	10
Journal-ISO	Adv. Complex Syst.
Doc-Delivery-Number	DR3LY