Complex Dynamical Behaviors of Lorenz-Stenflo Equations
A mathematical chaos model for the dynamical behaviors of atmospheric acoustic-gravity waves is considered in this paper. Boundedness and globally attractive sets of this chaos model are studied by means of the generalized Lyapunov function method. The innovation of this paper is that it not only pr...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-06-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/7/6/513 |
| _version_ | 1819060106457776128 |
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| author | Fuchen Zhang Min Xiao |
| author_facet | Fuchen Zhang Min Xiao |
| author_sort | Fuchen Zhang |
| collection | DOAJ |
| description | A mathematical chaos model for the dynamical behaviors of atmospheric acoustic-gravity waves is considered in this paper. Boundedness and globally attractive sets of this chaos model are studied by means of the generalized Lyapunov function method. The innovation of this paper is that it not only proves this system is globally bounded but also provides a series of global attraction sets of this system. The rate of trajectories entering from the exterior of the trapping domain to its interior is also obtained. Finally, the detailed numerical simulations are carried out to justify theoretical results. The results in this study can be used to study chaos control and chaos synchronization of this chaos system. |
| first_indexed | 2024-12-21T14:21:43Z |
| format | Article |
| id | doaj.art-148d8b51275247899348e327e90b9c7a |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-21T14:21:43Z |
| publishDate | 2019-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-148d8b51275247899348e327e90b9c7a2022-12-21T19:00:45ZengMDPI AGMathematics2227-73902019-06-017651310.3390/math7060513math7060513Complex Dynamical Behaviors of Lorenz-Stenflo EquationsFuchen Zhang0Min Xiao1Chongqing Key Laboratory of Social Economy and Applied Statistics, College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, ChinaCollege of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210003, ChinaA mathematical chaos model for the dynamical behaviors of atmospheric acoustic-gravity waves is considered in this paper. Boundedness and globally attractive sets of this chaos model are studied by means of the generalized Lyapunov function method. The innovation of this paper is that it not only proves this system is globally bounded but also provides a series of global attraction sets of this system. The rate of trajectories entering from the exterior of the trapping domain to its interior is also obtained. Finally, the detailed numerical simulations are carried out to justify theoretical results. The results in this study can be used to study chaos control and chaos synchronization of this chaos system.https://www.mdpi.com/2227-7390/7/6/513Lorenz-Stenflo systemgeneralized Lyapunov functionnonlinear dynamics |
| spellingShingle | Fuchen Zhang Min Xiao Complex Dynamical Behaviors of Lorenz-Stenflo Equations Mathematics Lorenz-Stenflo system generalized Lyapunov function nonlinear dynamics |
| title | Complex Dynamical Behaviors of Lorenz-Stenflo Equations |
| title_full | Complex Dynamical Behaviors of Lorenz-Stenflo Equations |
| title_fullStr | Complex Dynamical Behaviors of Lorenz-Stenflo Equations |
| title_full_unstemmed | Complex Dynamical Behaviors of Lorenz-Stenflo Equations |
| title_short | Complex Dynamical Behaviors of Lorenz-Stenflo Equations |
| title_sort | complex dynamical behaviors of lorenz stenflo equations |
| topic | Lorenz-Stenflo system generalized Lyapunov function nonlinear dynamics |
| url | https://www.mdpi.com/2227-7390/7/6/513 |
| work_keys_str_mv | AT fuchenzhang complexdynamicalbehaviorsoflorenzstenfloequations AT minxiao complexdynamicalbehaviorsoflorenzstenfloequations |