Analysis of a Generalized Lorenz–Stenflo Equation
Although the globally attractive sets of a hyperchaotic system have important applications in the fields of engineering, science, and technology, it is often a difficult task for the researchers to obtain the globally attractive set of the hyperchaotic systems due to the complexity of the hyperchaot...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2017/7520590 |
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| _version_ | 1832550771927810048 |
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| author | Fuchen Zhang Rui Chen Xiusu Chen |
| author_facet | Fuchen Zhang Rui Chen Xiusu Chen |
| author_sort | Fuchen Zhang |
| collection | DOAJ |
| description | Although the globally attractive sets of a hyperchaotic system have important applications in the fields of engineering, science, and technology, it is often a difficult task for the researchers to obtain the globally attractive set of the hyperchaotic systems due to the complexity of the hyperchaotic systems. Therefore, we will study the globally attractive set of a generalized hyperchaotic Lorenz–Stenflo system describing the evolution of finite amplitude acoustic gravity waves in a rotating atmosphere in this paper. Based on Lyapunov-like functional approach combining some simple inequalities, we derive the globally attractive set of this system with its parameters. The effectiveness of the proposed methods is illustrated via numerical examples. |
| format | Article |
| id | doaj-art-c38552b496a74b34b07e8747467d9473 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-c38552b496a74b34b07e8747467d94732025-02-03T06:05:56ZengWileyComplexity1076-27871099-05262017-01-01201710.1155/2017/75205907520590Analysis of a Generalized Lorenz–Stenflo EquationFuchen Zhang0Rui Chen1Xiusu Chen2College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, ChinaInformation Office, Chongqing Technology and Business University, Chongqing 400067, ChinaCollege of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, ChinaAlthough the globally attractive sets of a hyperchaotic system have important applications in the fields of engineering, science, and technology, it is often a difficult task for the researchers to obtain the globally attractive set of the hyperchaotic systems due to the complexity of the hyperchaotic systems. Therefore, we will study the globally attractive set of a generalized hyperchaotic Lorenz–Stenflo system describing the evolution of finite amplitude acoustic gravity waves in a rotating atmosphere in this paper. Based on Lyapunov-like functional approach combining some simple inequalities, we derive the globally attractive set of this system with its parameters. The effectiveness of the proposed methods is illustrated via numerical examples.http://dx.doi.org/10.1155/2017/7520590 |
| spellingShingle | Fuchen Zhang Rui Chen Xiusu Chen Analysis of a Generalized Lorenz–Stenflo Equation Complexity |
| title | Analysis of a Generalized Lorenz–Stenflo Equation |
| title_full | Analysis of a Generalized Lorenz–Stenflo Equation |
| title_fullStr | Analysis of a Generalized Lorenz–Stenflo Equation |
| title_full_unstemmed | Analysis of a Generalized Lorenz–Stenflo Equation |
| title_short | Analysis of a Generalized Lorenz–Stenflo Equation |
| title_sort | analysis of a generalized lorenz stenflo equation |
| url | http://dx.doi.org/10.1155/2017/7520590 |
| work_keys_str_mv | AT fuchenzhang analysisofageneralizedlorenzstenfloequation AT ruichen analysisofageneralizedlorenzstenfloequation AT xiusuchen analysisofageneralizedlorenzstenfloequation |