The Effect of Domain Deformation on the Behavior of a Distributed Kinetic System
The behavior of a distributed kinetic system, which is in homogeneous equilibrium within a flat circular reactor, under circular domain deformation is studied. We show that the deformation of domain may lead to appearance of stable spatially inhomogeneous oscillatory solutions, including chaotic osc...
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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/221 |
| _version_ | 1797877945783549952 |
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| author | E. P. Kubyshkin |
| author_facet | E. P. Kubyshkin |
| author_sort | E. P. Kubyshkin |
| collection | DOAJ |
| description | The behavior of a distributed kinetic system, which is in homogeneous equilibrium within a flat circular reactor, under circular domain deformation is studied. We show that the deformation of domain may lead to appearance of stable spatially inhomogeneous oscillatory solutions, including chaotic oscillations (strange attractors), in the neighborhood of homogeneous equilibrium. We also speak about mechanisms of initiation of chaotic attractors and calculate Lyapunov exponents and Lyapunov dimension for these regimes. We call this mechanism of appearance of spatially inhomogeneous nonlinear oscillations in distributed kinetic system the domain effect. |
| first_indexed | 2024-04-10T02:24:48Z |
| format | Article |
| id | doaj.art-57387ac13a154f1396a7a86927abd058 |
| institution | Directory Open Access Journal |
| issn | 1818-1015 2313-5417 |
| language | English |
| last_indexed | 2024-04-10T02:24:48Z |
| publishDate | 2013-02-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj.art-57387ac13a154f1396a7a86927abd0582023-03-13T08:07:31ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172013-02-012019910610.18255/1818-1015-2013-1-99-106214The Effect of Domain Deformation on the Behavior of a Distributed Kinetic SystemE. P. Kubyshkin0Ярославский государственный университет им. П.Г. ДемидоваThe behavior of a distributed kinetic system, which is in homogeneous equilibrium within a flat circular reactor, under circular domain deformation is studied. We show that the deformation of domain may lead to appearance of stable spatially inhomogeneous oscillatory solutions, including chaotic oscillations (strange attractors), in the neighborhood of homogeneous equilibrium. We also speak about mechanisms of initiation of chaotic attractors and calculate Lyapunov exponents and Lyapunov dimension for these regimes. We call this mechanism of appearance of spatially inhomogeneous nonlinear oscillations in distributed kinetic system the domain effect.https://www.mais-journal.ru/jour/article/view/221распределенная кинетическая системадеформация областинелинейные колебания распределенных системхаотические колебаниястранный аттрактор |
| spellingShingle | E. P. Kubyshkin The Effect of Domain Deformation on the Behavior of a Distributed Kinetic System Моделирование и анализ информационных систем распределенная кинетическая система деформация области нелинейные колебания распределенных систем хаотические колебания странный аттрактор |
| title | The Effect of Domain Deformation on the Behavior of a Distributed Kinetic System |
| title_full | The Effect of Domain Deformation on the Behavior of a Distributed Kinetic System |
| title_fullStr | The Effect of Domain Deformation on the Behavior of a Distributed Kinetic System |
| title_full_unstemmed | The Effect of Domain Deformation on the Behavior of a Distributed Kinetic System |
| title_short | The Effect of Domain Deformation on the Behavior of a Distributed Kinetic System |
| title_sort | effect of domain deformation on the behavior of a distributed kinetic system |
| topic | распределенная кинетическая система деформация области нелинейные колебания распределенных систем хаотические колебания странный аттрактор |
| url | https://www.mais-journal.ru/jour/article/view/221 |
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