Sharp Bound of the Number of Zeros for a Liénard System with a Heteroclinic Loop
In the presented paper, the Abelian integral Ih of a Liénard system is investigated, with a heteroclinic loop passing through a nilpotent saddle. By using a new algebraic criterion, we try to find the least upper bound of the number of limit cycles bifurcating from periodic annulus.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2021/6625657 |
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| _version_ | 1832562929156751360 |
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| author | Junning Cai Minzhi Wei Guoping Pang |
| author_facet | Junning Cai Minzhi Wei Guoping Pang |
| author_sort | Junning Cai |
| collection | DOAJ |
| description | In the presented paper, the Abelian integral Ih of a Liénard system is investigated, with a heteroclinic loop passing through a nilpotent saddle. By using a new algebraic criterion, we try to find the least upper bound of the number of limit cycles bifurcating from periodic annulus. |
| format | Article |
| id | doaj-art-18a2cdb7c66442a1ac78214e825eb70f |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-18a2cdb7c66442a1ac78214e825eb70f2025-02-03T01:21:26ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2021-01-01202110.1155/2021/66256576625657Sharp Bound of the Number of Zeros for a Liénard System with a Heteroclinic LoopJunning Cai0Minzhi Wei1Guoping Pang2Department of Applied Mathematics, Guangxi University of Finance and Economics, Nanning, Guangxi 530003, ChinaDepartment of Applied Mathematics, Guangxi University of Finance and Economics, Nanning, Guangxi 530003, ChinaSchool of Mathematics and Statistics, Yulin Normal University, Yulin 537000, ChinaIn the presented paper, the Abelian integral Ih of a Liénard system is investigated, with a heteroclinic loop passing through a nilpotent saddle. By using a new algebraic criterion, we try to find the least upper bound of the number of limit cycles bifurcating from periodic annulus.http://dx.doi.org/10.1155/2021/6625657 |
| spellingShingle | Junning Cai Minzhi Wei Guoping Pang Sharp Bound of the Number of Zeros for a Liénard System with a Heteroclinic Loop Discrete Dynamics in Nature and Society |
| title | Sharp Bound of the Number of Zeros for a Liénard System with a Heteroclinic Loop |
| title_full | Sharp Bound of the Number of Zeros for a Liénard System with a Heteroclinic Loop |
| title_fullStr | Sharp Bound of the Number of Zeros for a Liénard System with a Heteroclinic Loop |
| title_full_unstemmed | Sharp Bound of the Number of Zeros for a Liénard System with a Heteroclinic Loop |
| title_short | Sharp Bound of the Number of Zeros for a Liénard System with a Heteroclinic Loop |
| title_sort | sharp bound of the number of zeros for a lienard system with a heteroclinic loop |
| url | http://dx.doi.org/10.1155/2021/6625657 |
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