Confidence Domains in the Analysis of Noise-Induced Transition to Chaos for Goodwin Model of Business Cycles / Bashkirtseva Irina,Ryazanova Tatyana,Ryashko Lev // INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. - 2014. - V. 24, l. 8.

ISSN/EISSN:

0218-1274 / 1793-6551

Type:

Article

Abstract:

Stochastically forced Goodwin model of business cycles is considered. In a multistable zone, we study the phenomena of noise-induced transitions and chaotization. To clarify a probabilistic mechanism of these phenomena found numerically, we apply a semi-analytical method based on the stochastic sensitivity function technique and confidence domains. Using elaborated method, we estimate a critical value of the noise intensity corresponding to the onset of chaos.

Author keywords:

Noise-induced transitions; chaos; random disturbances; Goodwin model of business cycles NONLINEAR ACCELERATOR; STABILITY; ATTRACTORS; DELAY

DOI:

10.1142/S0218127414400203

Web of Science ID:

ISI:000341494900021

Соавторы в МНС:

Другие поля

Поле	Значение
Month	AUG
Publisher	WORLD SCIENTIFIC PUBL CO PTE LTD
Address	5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE
Language	English
Article-Number	1440020
EISSN	1793-6551
Keywords-Plus	NONLINEAR ACCELERATOR; STABILITY; ATTRACTORS; DELAY
Research-Areas	Mathematics; Science \& Technology - Other Topics
Web-of-Science-Categories	Mathematics, Interdisciplinary Applications; Multidisciplinary Sciences
Author-Email	lev.ryashko@urfu.ru
ResearcherID-Numbers	Ryazanova, Tatyana/P-2782-2015
Funding-Acknowledgement	Ministry of Education and Science of the Russian Federation {[}N315]; RFBR {[}14-01-00181]
Funding-Text	This work was supported by the Ministry of Education and Science of the Russian Federation under the project N315 and RFBR (14-01-00181).
Number-of-Cited-References	39
Usage-Count-Last-180-days	4
Usage-Count-Since-2013	20
Journal-ISO	Int. J. Bifurcation Chaos
Doc-Delivery-Number	AO6XB