Academic Journal
Theoretical models of physical systems with rough chaos
| العنوان: | Theoretical models of physical systems with rough chaos |
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| المؤلفون: | Kruglov, Vjacheslav Pavlovich, Kuptsov, Pavel Vladimirovich |
| المصدر: | Известия высших учебных заведений: Прикладная нелинейная динамика, Vol 29, Iss 1, Pp 35-77 (2021) |
| بيانات النشر: | Saratov State University, 2021. |
| سنة النشر: | 2021 |
| المجموعة: | LCC:Physics |
| مصطلحات موضوعية: | hyperbolic chaos, surfaces of negative curvature, geodesic flow, turing patterns, smale –williams attractor, Physics, QC1-999 |
| الوصف: | The purpose of this review is to present in a unified manner the latest results on mathematical modeling of rough hyperbolic chaos in systems of various physical nature. Main research Methods are the numerical solution of systems of differential equations and partial differential equations, numerical extraction of the phase of oscillatory processes or spatial patterns, calculating of Lyapunov exponents, and studying the mutual arrangement of the stable and unstable manifolds of chaotic trajectories, the calculation of Gaussian curvature of surfaces. These procedures allow to reveal the typical attributes of rough hyperbolic chaos. Results reproduce the studies of already known phenomena, however, their qualitative explanation and quantitative confirmation are given in in a more detailed form, in accordance with the development of ideas about them. Conclusion. Methodologically the proposed review article may be interesting for undergraduate and graduate students in terms of studying the principles of construction and analysis of systems with chaotic behavior. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English Russian |
| تدمد: | 0869-6632 2542-1905 |
| Relation: | https://andjournal.sgu.ru/sites/andjournal.sgu.ru/files/text-pdf/2021/01/kruglov.pdf; https://doaj.org/toc/0869-6632; https://doaj.org/toc/2542-1905 |
| DOI: | 10.18500/0869-6632-2021-29-1-35-77 |
| URL الوصول: | https://doaj.org/article/9efd1a8ab75345d6ade0bc4ae2f1073a |
| رقم الانضمام: | edsdoj.9efd1a8ab75345d6ade0bc4ae2f1073a |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 08696632 25421905 |
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| DOI: | 10.18500/0869-6632-2021-29-1-35-77 |