Limit Cycles and Invariant Curves in a Class of Switching Systems with Degree Four
In this paper, a class of switching systems which have an invariant conic x2+cy2=1,c∈R, is investigated. Half attracting invariant conic x2+cy2=1,c∈R, is found in switching systems. The coexistence of small-amplitude limit cycles, large amplitude limit cycles, and invariant algebraic curves under pe...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/4716047 |
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| _version_ | 1850167680046202880 |
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| author | Xinli Li Huijie Yang Binghong Wang |
| author_facet | Xinli Li Huijie Yang Binghong Wang |
| author_sort | Xinli Li |
| collection | DOAJ |
| description | In this paper, a class of switching systems which have an invariant conic x2+cy2=1,c∈R, is investigated. Half attracting invariant conic x2+cy2=1,c∈R, is found in switching systems. The coexistence of small-amplitude limit cycles, large amplitude limit cycles, and invariant algebraic curves under perturbations of the coefficients of the systems is proved. |
| format | Article |
| id | doaj-art-e76d2bcb9cc645bba130c34e86943ffb |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-e76d2bcb9cc645bba130c34e86943ffb2025-08-20T02:21:09ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/47160474716047Limit Cycles and Invariant Curves in a Class of Switching Systems with Degree FourXinli Li0Huijie Yang1Binghong Wang2School of Business, University of Shanghai for Science and Technology, Shanghai 200093, ChinaSchool of Business, University of Shanghai for Science and Technology, Shanghai 200093, ChinaSchool of Business, University of Shanghai for Science and Technology, Shanghai 200093, ChinaIn this paper, a class of switching systems which have an invariant conic x2+cy2=1,c∈R, is investigated. Half attracting invariant conic x2+cy2=1,c∈R, is found in switching systems. The coexistence of small-amplitude limit cycles, large amplitude limit cycles, and invariant algebraic curves under perturbations of the coefficients of the systems is proved.http://dx.doi.org/10.1155/2018/4716047 |
| spellingShingle | Xinli Li Huijie Yang Binghong Wang Limit Cycles and Invariant Curves in a Class of Switching Systems with Degree Four Journal of Function Spaces |
| title | Limit Cycles and Invariant Curves in a Class of Switching Systems with Degree Four |
| title_full | Limit Cycles and Invariant Curves in a Class of Switching Systems with Degree Four |
| title_fullStr | Limit Cycles and Invariant Curves in a Class of Switching Systems with Degree Four |
| title_full_unstemmed | Limit Cycles and Invariant Curves in a Class of Switching Systems with Degree Four |
| title_short | Limit Cycles and Invariant Curves in a Class of Switching Systems with Degree Four |
| title_sort | limit cycles and invariant curves in a class of switching systems with degree four |
| url | http://dx.doi.org/10.1155/2018/4716047 |
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