Dimensional Characteristics of Diffusion Chaos
The phenomenon of multimode diffusion chaos is considered. For a number of examples it is shown that the Lyapunov dimension of the attractor of a distributed dynamical system increases as the diffusion coefficient tends to 0.
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| Format: | Article |
| Language: | English |
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Yaroslavl State University
2013-02-01
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| Series: | Моделирование и анализ информационных систем |
| Subjects: | |
| Online Access: | https://www.mais-journal.ru/jour/article/view/219 |
| _version_ | 1797877941959393280 |
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| author | S. D. Glyzin |
| author_facet | S. D. Glyzin |
| author_sort | S. D. Glyzin |
| collection | DOAJ |
| description | The phenomenon of multimode diffusion chaos is considered. For a number of examples it is shown that the Lyapunov dimension of the attractor of a distributed dynamical system increases as the diffusion coefficient tends to 0. |
| first_indexed | 2024-04-10T02:24:45Z |
| format | Article |
| id | doaj.art-488460a093c145699a4c113340b8fc01 |
| institution | Directory Open Access Journal |
| issn | 1818-1015 2313-5417 |
| language | English |
| last_indexed | 2024-04-10T02:24:45Z |
| publishDate | 2013-02-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj.art-488460a093c145699a4c113340b8fc012023-03-13T08:07:31ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172013-02-01201305110.18255/1818-1015-2013-1-30-51212Dimensional Characteristics of Diffusion ChaosS. D. Glyzin0Ярославский государственный университет им. П.Г. ДемидоваThe phenomenon of multimode diffusion chaos is considered. For a number of examples it is shown that the Lyapunov dimension of the attractor of a distributed dynamical system increases as the diffusion coefficient tends to 0.https://www.mais-journal.ru/jour/article/view/219диффузионный хаосаттракторляпуновская размерностьуравнение гинзбурга – ландаубифуркациясценарий ландау – селла |
| spellingShingle | S. D. Glyzin Dimensional Characteristics of Diffusion Chaos Моделирование и анализ информационных систем диффузионный хаос аттрактор ляпуновская размерность уравнение гинзбурга – ландау бифуркация сценарий ландау – селла |
| title | Dimensional Characteristics of Diffusion Chaos |
| title_full | Dimensional Characteristics of Diffusion Chaos |
| title_fullStr | Dimensional Characteristics of Diffusion Chaos |
| title_full_unstemmed | Dimensional Characteristics of Diffusion Chaos |
| title_short | Dimensional Characteristics of Diffusion Chaos |
| title_sort | dimensional characteristics of diffusion chaos |
| topic | диффузионный хаос аттрактор ляпуновская размерность уравнение гинзбурга – ландау бифуркация сценарий ландау – селла |
| url | https://www.mais-journal.ru/jour/article/view/219 |
| work_keys_str_mv | AT sdglyzin dimensionalcharacteristicsofdiffusionchaos |