一类Lienard系统的Hopf环形数(Hopf cyclicity for a Lienard system)
The number of limit cycles of a Lienard system ， is studied，where Fn (x) and Pm (x) are polynomials of x with degree n and m respectively. By using a general theorem on Hopf bifurcation of limit cycles, some concrete Hopf cyclicity are given.
| Main Authors: | , |
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| Format: | Article |
| Language: | zho |
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Zhejiang University Press
2011-01-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2011.01.004 |
| _version_ | 1797236025060229120 |
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| author | YANDong-mei(严冬梅) TIANYun(田云) |
| author_facet | YANDong-mei(严冬梅) TIANYun(田云) |
| author_sort | YANDong-mei(严冬梅) |
| collection | DOAJ |
| description | The number of limit cycles of a Lienard system ， is studied，where Fn (x) and Pm (x) are polynomials of x with degree n and m respectively. By using a general theorem on Hopf bifurcation of limit cycles, some concrete Hopf cyclicity are given. |
| first_indexed | 2024-04-24T16:57:17Z |
| format | Article |
| id | doaj.art-5e4dc78fdf93403fa4fa0e51b2b98646 |
| institution | Directory Open Access Journal |
| issn | 1008-9497 |
| language | zho |
| last_indexed | 2024-04-24T16:57:17Z |
| publishDate | 2011-01-01 |
| publisher | Zhejiang University Press |
| record_format | Article |
| series | Zhejiang Daxue xuebao. Lixue ban |
| spelling | doaj.art-5e4dc78fdf93403fa4fa0e51b2b986462024-03-29T01:58:29ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972011-01-01381101810.3785/j.issn.1008-9497.2011.01.004一类Lienard系统的Hopf环形数(Hopf cyclicity for a Lienard system)YANDong-mei(严冬梅)0TIANYun(田云)1( 1. Department of Mathematics, Shanghai Normal University, Shanghai 200234, China)( 1. Department of Mathematics, Shanghai Normal University, Shanghai 200234, China)The number of limit cycles of a Lienard system ， is studied，where Fn (x) and Pm (x) are polynomials of x with degree n and m respectively. By using a general theorem on Hopf bifurcation of limit cycles, some concrete Hopf cyclicity are given.https://doi.org/10.3785/j.issn.1008-9497.2011.01.004lienard systemlimit cyclehopf bifurcation |
| spellingShingle | YANDong-mei(严冬梅) TIANYun(田云) 一类Lienard系统的Hopf环形数(Hopf cyclicity for a Lienard system) Zhejiang Daxue xuebao. Lixue ban lienard system limit cycle hopf bifurcation |
| title | 一类Lienard系统的Hopf环形数(Hopf cyclicity for a Lienard system) |
| title_full | 一类Lienard系统的Hopf环形数(Hopf cyclicity for a Lienard system) |
| title_fullStr | 一类Lienard系统的Hopf环形数(Hopf cyclicity for a Lienard system) |
| title_full_unstemmed | 一类Lienard系统的Hopf环形数(Hopf cyclicity for a Lienard system) |
| title_short | 一类Lienard系统的Hopf环形数(Hopf cyclicity for a Lienard system) |
| title_sort | 一类lienard系统的hopf环形数 hopf cyclicity for a lienard system |
| topic | lienard system limit cycle hopf bifurcation |
| url | https://doi.org/10.3785/j.issn.1008-9497.2011.01.004 |
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