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Эта публикация цитируется в 10 научных статьях (всего в 10 статьях)
Sigma Map Dynamics and Bifurcations
Aminur Rahmana, Yogesh Joshib, Denis Blackmorec a Department of Mathematics and Statistics, Texas Tech University,
Lubbock, TX 79409 USA
b Department of Mathematics and Computer Science, Kingsborough Community College, Brooklyn, NY 11235 USA
c Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, NJ 07102-1982 USA
Аннотация:
Some interesting variants of walking droplet based discrete dynamical bifurcations arising from diffeomorphisms are analyzed in detail. A notable feature of these new bifurcations is that, like Smale horseshoes, they can be represented by simple geometric paradigms, which markedly simplify their analysis. The two-dimensional diffeomorphisms that produce these bifurcations are called sigma maps or double sigma maps for reasons that are made manifest in this investigation. Several examples are presented along with their dynamical simulations.
Ключевые слова:
Discrete dynamical systems, bifurcations, chaotic strange attractors, invariant sets, homoclinic and heteroclinic orbits, sigma maps, dynamical crises.
Поступила в редакцию: 17.08.2017 Принята в печать: 21.10.2017
Образец цитирования:
Aminur Rahman, Yogesh Joshi, Denis Blackmore, “Sigma Map Dynamics and Bifurcations”, Regul. Chaotic Dyn., 22:6 (2017), 740–749
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd286 https://www.mathnet.ru/rus/rcd/v22/i6/p740
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