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http://elar.urfu.ru/handle/10995/27422
Название: | Stochastic sensitivity analysis of noise-induced intermittency and transition to chaos in one-dimensional discrete-time systems |
Авторы: | Bashkirtseva, I. Ryashko, L. |
Дата публикации: | 2013 |
Библиографическое описание: | Bashkirtseva I. Stochastic sensitivity analysis of noise-induced intermittency and transition to chaos in one-dimensional discrete-time systems / I. Bashkirtseva, L. Ryashko // Physica A: Statistical Mechanics and its Applications. — 2013. — Vol. 392. — № 2. — P. 295-306. |
Аннотация: | We study a phenomenon of noise-induced intermittency for the stochastically forced one-dimensional discrete-time system near tangent bifurcation. In a subcritical zone, where the deterministic system has a single stable equilibrium, even small noises generate large-amplitude chaotic oscillations and intermittency. We show that this phenomenon can be explained by a high stochastic sensitivity of this equilibrium. For the analysis of this system, we suggest a constructive method based on stochastic sensitivity functions and confidence intervals technique. An explicit formula for the value of the noise intensity threshold corresponding to the onset of noise-induced intermittency is found. On the basis of our approach, a parametrical diagram of different stochastic regimes of intermittency and asymptotics are given. © 2012 Elsevier B.V. All rights reserved. |
Ключевые слова: | INTERMITTENCY NOISE-INDUCED CHAOS STOCHASTIC SENSITIVITY FUNCTION TANGENT BIFURCATION ASYMPTOTICS CHAOTIC OSCILLATION CONFIDENCE INTERVAL CONSTRUCTIVE METHODS DETERMINISTIC SYSTEMS DISCRETE TIME SYSTEM EXPLICIT FORMULA INTERMITTENCY NOISE INTENSITIES NOISE-INDUCED CHAOS SENSITIVITY FUNCTIONS STABLE EQUILIBRIUM STOCHASTIC SENSITIVITY ANALYSIS TANGENT BIFURCATION TRANSITION TO CHAOS BIFURCATION (MATHEMATICS) DIGITAL CONTROL SYSTEMS DISCRETE TIME CONTROL SYSTEMS STOCHASTIC SYSTEMS |
URI: | http://elar.urfu.ru/handle/10995/27422 |
Идентификатор SCOPUS: | 84867853587 |
Идентификатор WOS: | 000311135200001 |
Идентификатор PURE: | 900694 |
ISSN: | 0378-4371 |
DOI: | 10.1016/j.physa.2012.09.001 |
Располагается в коллекциях: | Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC |
Файлы этого ресурса:
Файл | Описание | Размер | Формат | |
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scopus-2013-0574.pdf | 4,24 MB | Adobe PDF | Просмотреть/Открыть |
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