Analytical treatment of the chaotic behaviour of the deterministic pseudolinear map: decay of correlations and stability of periodical systems

Analytical treatment of the chaotic behaviour of the deterministic pseudolinear map: decay of correlations and stability of periodical systems

It was received the rate of chaotization for pseudolinear mapping. It was shown that the rate of chaotization is proportional to the dimension of the phase space and maximal Lyapunov exponent. It was shown also that the problem of the rate of chaotization is not correct and must be regularized. It w...

Повний опис

Збережено в:
Бібліографічні деталі
Дата:2001
Автори: Demutsky, V.P., Rashkovan, V.M.
Формат: Стаття
Мова:English
Опубліковано: Національний науковий центр «Харківський фізико-технічний інститут» НАН України 2001
Назва видання:Вопросы атомной науки и техники
Теми:
Anomalous diffusion, fractals, and chaos
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/79897
Теги: Додати тег
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Analytical treatment of the chaotic behaviour of the deterministic pseudolinear map: decay of correlations and stability of periodical systems / V.P. Demutsky, V.M. Rashkovan // Вопросы атомной науки и техники. — 2001. — № 6. — С. 238-244. — Бібліогр.: 16 назв. — англ.

Репозитарії

Digital Library of Periodicals of National Academy of Sciences of Ukraine
id irk-123456789-79897
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spelling irk-123456789-798972015-04-07T03:01:56Z Analytical treatment of the chaotic behaviour of the deterministic pseudolinear map: decay of correlations and stability of periodical systems Demutsky, V.P. Rashkovan, V.M. Anomalous diffusion, fractals, and chaos It was received the rate of chaotization for pseudolinear mapping. It was shown that the rate of chaotization is proportional to the dimension of the phase space and maximal Lyapunov exponent. It was shown also that the problem of the rate of chaotization is not correct and must be regularized. It was investigated also the two-dimensional dynamical system stability in the case of two and three step periodical standard maps. The stability conditions were obtained. The analytical expressions of the bounders of stability regions were written. It had been shown that the summary region of stability is expanded, when compared to the case of the one-step map, but the number of stable points decreases. 2001 Article Analytical treatment of the chaotic behaviour of the deterministic pseudolinear map: decay of correlations and stability of periodical systems / V.P. Demutsky, V.M. Rashkovan // Вопросы атомной науки и техники. — 2001. — № 6. — С. 238-244. — Бібліогр.: 16 назв. — англ. 1562-6016 PACS: 05.45.Ac http://dspace.nbuv.gov.ua/handle/123456789/79897 en Вопросы атомной науки и техники Національний науковий центр «Харківський фізико-технічний інститут» НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
topic Anomalous diffusion, fractals, and chaos
Anomalous diffusion, fractals, and chaos
spellingShingle Anomalous diffusion, fractals, and chaos
Anomalous diffusion, fractals, and chaos
Demutsky, V.P.
Rashkovan, V.M.
Analytical treatment of the chaotic behaviour of the deterministic pseudolinear map: decay of correlations and stability of periodical systems
Вопросы атомной науки и техники
description It was received the rate of chaotization for pseudolinear mapping. It was shown that the rate of chaotization is proportional to the dimension of the phase space and maximal Lyapunov exponent. It was shown also that the problem of the rate of chaotization is not correct and must be regularized. It was investigated also the two-dimensional dynamical system stability in the case of two and three step periodical standard maps. The stability conditions were obtained. The analytical expressions of the bounders of stability regions were written. It had been shown that the summary region of stability is expanded, when compared to the case of the one-step map, but the number of stable points decreases.
format Article
author Demutsky, V.P.
Rashkovan, V.M.
author_facet Demutsky, V.P.
Rashkovan, V.M.
author_sort Demutsky, V.P.
title Analytical treatment of the chaotic behaviour of the deterministic pseudolinear map: decay of correlations and stability of periodical systems
title_short Analytical treatment of the chaotic behaviour of the deterministic pseudolinear map: decay of correlations and stability of periodical systems
title_full Analytical treatment of the chaotic behaviour of the deterministic pseudolinear map: decay of correlations and stability of periodical systems
title_fullStr Analytical treatment of the chaotic behaviour of the deterministic pseudolinear map: decay of correlations and stability of periodical systems
title_full_unstemmed Analytical treatment of the chaotic behaviour of the deterministic pseudolinear map: decay of correlations and stability of periodical systems
title_sort analytical treatment of the chaotic behaviour of the deterministic pseudolinear map: decay of correlations and stability of periodical systems
publisher Національний науковий центр «Харківський фізико-технічний інститут» НАН України
publishDate 2001
topic_facet Anomalous diffusion, fractals, and chaos
url http://dspace.nbuv.gov.ua/handle/123456789/79897
citation_txt Analytical treatment of the chaotic behaviour of the deterministic pseudolinear map: decay of correlations and stability of periodical systems / V.P. Demutsky, V.M. Rashkovan // Вопросы атомной науки и техники. — 2001. — № 6. — С. 238-244. — Бібліогр.: 16 назв. — англ.
series Вопросы атомной науки и техники
work_keys_str_mv AT demutskyvp analyticaltreatmentofthechaoticbehaviourofthedeterministicpseudolinearmapdecayofcorrelationsandstabilityofperiodicalsystems
AT rashkovanvm analyticaltreatmentofthechaoticbehaviourofthedeterministicpseudolinearmapdecayofcorrelationsandstabilityofperiodicalsystems
first_indexed 2023-10-18T19:19:44Z
last_indexed 2023-10-18T19:19:44Z
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