Stochastic bifurcations caused by multiplicative noise in systems with hard excitement of auto-oscillations / Bashkirtseva Irina,Ryazanova Tatyana,Ryashko Lev // PHYSICAL REVIEW E. - 2015. - V. 92, l. 4.

ISSN/EISSN:

2470-0045 / 2470-0053

Type:

Article

Abstract:

We study a stochastic dynamics of systems with hard excitement of auto-oscillations possessing a bistability mode with coexistence of the stable equilibrium and limit cycle. A principal difference in the results of the impact of additive and parametric random disturbances is shown. For the stochastic van der Pol oscillator with increasing parametric noise, qualitative transformations of the probability density function form ``crater{''}-{''}peak + crater{''}-{''}peak{''} are demonstrated by numerical simulation. An analytical investigation of such P bifurcations is carried out for the stochastic Hopf-like model with hard excitement of self-oscillations. A detailed parametric description of the response of this model on the additive and multiplicative noise and corresponding stochastic bifurcations are presented and discussed.

Author keywords:

HOPF-BIFURCATION; COLORED NOISE; TRANSITIONS; RESONANCE; CHAOS; ORDER; VAN

DOI:

10.1103/PhysRevE.92.042908

Web of Science ID:

ISI:000362445200019

Соавторы в МНС:

Другие поля

Поле	Значение
Month	OCT 5
Publisher	AMER PHYSICAL SOC
Address	ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
Language	English
Article-Number	042908
EISSN	2470-0053
Keywords-Plus	HOPF-BIFURCATION; COLORED NOISE; TRANSITIONS; RESONANCE; CHAOS; ORDER; VAN
Research-Areas	Physics
Web-of-Science-Categories	Physics, Fluids \& Plasmas; Physics, Mathematical
Author-Email	irina.bashkirtseva@urfu.ru tatyana.ryazanova@urfu.ru lev.ryashko@urfu.ru
ResearcherID-Numbers	Ryazanova, Tatyana/P-2782-2015
Funding-Acknowledgement	Government of the Russian Federation {[}02.A03.21.0006]
Funding-Text	The work was supported by Government of the Russian Federation (Act 211, Contract No. 02.A03.21.0006).
Number-of-Cited-References	28
Usage-Count-Last-180-days	4
Usage-Count-Since-2013	20
Journal-ISO	Phys. Rev. E
Doc-Delivery-Number	CS9WY