A New Series of Three-Dimensional Chaotic Systems with Cross-Product Nonlinearities and Their Switching
This paper introduces a new series of three-dimensional chaotic systems with cross-product nonlinearities. Based on some conditions, we analyze the globally exponentially or globally conditional exponentially attractive set and positive invariant set of these chaotic systems. Moreover, we give some...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/590421 |
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| _version_ | 1850170680378654720 |
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| author | Xinquan Zhao Feng Jiang Zhigang Zhang Junhao Hu |
| author_facet | Xinquan Zhao Feng Jiang Zhigang Zhang Junhao Hu |
| author_sort | Xinquan Zhao |
| collection | DOAJ |
| description | This paper introduces a new series of three-dimensional chaotic
systems with cross-product nonlinearities. Based on some conditions,
we analyze the globally exponentially or globally conditional
exponentially attractive set and positive invariant set of these
chaotic systems. Moreover, we give some known examples to show our
results, and the exponential estimation is explicitly derived.
Finally, we construct some three-dimensional chaotic systems with
cross-product nonlinearities and study the switching system between
them. |
| format | Article |
| id | doaj-art-9b668a52e3fe45d5aed5c7a80dec71c8 |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-9b668a52e3fe45d5aed5c7a80dec71c82025-08-20T02:20:26ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/590421590421A New Series of Three-Dimensional Chaotic Systems with Cross-Product Nonlinearities and Their SwitchingXinquan Zhao0Feng Jiang1Zhigang Zhang2Junhao Hu3School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan 430073, ChinaSchool of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan 430073, ChinaDepartment of Statistics and Applied Mathematics, Hubei University of Economics, Wuhan 430205, ChinaSchool of Mathematics and Statistics, South-Central University for Nationalities, Wuhan 430074, ChinaThis paper introduces a new series of three-dimensional chaotic systems with cross-product nonlinearities. Based on some conditions, we analyze the globally exponentially or globally conditional exponentially attractive set and positive invariant set of these chaotic systems. Moreover, we give some known examples to show our results, and the exponential estimation is explicitly derived. Finally, we construct some three-dimensional chaotic systems with cross-product nonlinearities and study the switching system between them.http://dx.doi.org/10.1155/2013/590421 |
| spellingShingle | Xinquan Zhao Feng Jiang Zhigang Zhang Junhao Hu A New Series of Three-Dimensional Chaotic Systems with Cross-Product Nonlinearities and Their Switching Journal of Applied Mathematics |
| title | A New Series of Three-Dimensional Chaotic Systems with Cross-Product Nonlinearities and Their Switching |
| title_full | A New Series of Three-Dimensional Chaotic Systems with Cross-Product Nonlinearities and Their Switching |
| title_fullStr | A New Series of Three-Dimensional Chaotic Systems with Cross-Product Nonlinearities and Their Switching |
| title_full_unstemmed | A New Series of Three-Dimensional Chaotic Systems with Cross-Product Nonlinearities and Their Switching |
| title_short | A New Series of Three-Dimensional Chaotic Systems with Cross-Product Nonlinearities and Their Switching |
| title_sort | new series of three dimensional chaotic systems with cross product nonlinearities and their switching |
| url | http://dx.doi.org/10.1155/2013/590421 |
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