Bound the number of limit cycles bifurcating from center of polynomial Hamiltonian system via interval analysis
详细信息 查看全文
- 作者：Jihua Wang ; wangjh2000@163.com" class="auth_mail" title="E-mail the corresponding author
- 关键词：Limit cycle ; Abelian integral ; Chebyshev criterion ; Semi-algebraic system ; Interval analysis
- 刊名：Chaos, Solitons & Fractals
- 出版年：2016
- 出版时间：June 2016
- 年：2016
- 卷：87
- 期：Complete
- 页码：30-38
- 全文大小：741 K
文摘
- •
Bound the number of limit cycles by algebraic criterion.
- •
Estimate the number of isolated zeroes of Abelian integral by interval analysis.
- •
A Lienard system of type (4, 3) could have at most six limit cycles at finite plane.
- •
The drawbacks in some works are commented.