A New Five-Dimensional Hyperchaotic System with Six Coexisting Attractors
| العنوان: | A New Five-Dimensional Hyperchaotic System with Six Coexisting Attractors |
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| المؤلفون: | Zhaosheng Feng, Zhengrong Liu, Jiaopeng Yang |
| المصدر: | Qualitative Theory of Dynamical Systems. 20 |
| بيانات النشر: | Springer Science and Business Media LLC, 2021. |
| سنة النشر: | 2021 |
| مصطلحات موضوعية: | Mathematics::Dynamical Systems, Applied Mathematics, Chaotic, Ode, Hypercone, 01 natural sciences, Nonlinear Sciences::Chaotic Dynamics, 010101 applied mathematics, Chaotic systems, 0103 physical sciences, Attractor, Discrete Mathematics and Combinatorics, Statistical physics, 0101 mathematics, 010301 acoustics, Hyperbolic equilibrium point, Mathematics, Equilibrium line, Parametric statistics |
| الوصف: | This article presents a hyperchaotic system of five-dimensional autonomous ODEs that has five cross-product nonlinearities. Under certain parametric conditions, it exhibits three different types of hyperchaotic and chaotic systems which correspond to six hyperchaotic attractors with a non-hyperbolic equilibrium line, four chaotic attractors with seventeen hyperbolic equilibria, and four chaotic attractors with only one hyperbolic equilibrium, respectively. The fundamental dynamics are analyzed theoretically and numerically, such as the onset of hyperchaos and chaos, routes to chaos, persistence of chaos, coexistence of attractors, periodic windows and bifurcations. It is particularly shown that the coexisting attractors of the 5D system inside the hypercone are symmetric. Some dynamical characteristics of these attractors are illustrated. |
| تدمد: | 1662-3592 1575-5460 |
| DOI: | 10.1007/s12346-021-00454-0 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::398f50c48137d898599f3c812479806e https://doi.org/10.1007/s12346-021-00454-0 |
| Rights: | CLOSED |
| رقم الانضمام: | edsair.doi...........398f50c48137d898599f3c812479806e |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 16623592 15755460 |
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| DOI: | 10.1007/s12346-021-00454-0 |