Analysis of Stochastically Forced Quasi-Periodic Attractors / Ryashko Lev // . - 2015. - V. 1690, l. .

ISSN/EISSN:

0094-243X / нет данных

Type:

Proceedings Paper

Abstract:

A problem of the analysis of stochastically forced quasi-periodic auto-oscillations of nonlinear dynamic systems is considered. A stationary distribution of random trajectories in the neighborhood of the corresponding deterministic attractor (torus) is studied. A parametric description of quadratic approximation of the quasipotential based on the stochastic sensitivity functions (SSF) technique is given. Using this technique, we analyse a dispersion of stochastic flows near the torus. For the case of two-torus in three-dimensional space, the stochastic sensitivity function is constructed.

Author keywords:

SYSTEMS; SENSITIVITY; NOISE

DOI:

10.1063/1.4936718

Web of Science ID:

ISI:000366565600040

Соавторы в МНС:

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Другие поля

Поле	Значение
Editor	Pasheva, V and Popivanov, N and Venkov, G
Booktitle	41ST INTERNATIONAL CONFERENCE APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'15)
Series	AIP Conference Proceedings
Note	41st International Conference on Applications of Mathematics in Engineering and Economics (AMEE), Sozopol, BULGARIA, JUN 08-13, 2015
Organization	Tech Univ Sofia, Fac Appl Math \& Informat; TU, Res \& Dev Sect; Sofia Univ St Kliment Ohridski, Res \& Dev Sect
Publisher	AMER INST PHYSICS
Address	2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA
Language	English
Article-Number	040011
ISBN	978-0-7354-1337-5
Keywords-Plus	SYSTEMS; SENSITIVITY; NOISE
Research-Areas	Business \& Economics; Mathematics; Physics
Web-of-Science-Categories	Economics; Mathematics, Applied; Physics, Applied
Number-of-Cited-References	15
Usage-Count-Since-2013	1
Doc-Delivery-Number	BE0PS