Weak centers and local bifurcations of critical periods at infinity for a class of rational systems-Reference-Cited by-同舟云学术

Weak centers and local bifurcations of critical periods at infinity for a class of rational systems

Published:2013-04 Issue:2 Volume:29 Page:377-390
ISSN:0168-9673
Container-title:Acta Mathematicae Applicatae Sinica, English Series
language:en
Short-container-title:Acta Math. Appl. Sin. Engl. Ser.

Author:

Huang Wen-tao,Romanovski Valery G.,Zhang Wei-Nian

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s10255-013-0220-8.pdf

Reference25 articles.

1. Bautin, N. On the number of limit cyckes which appear with the variation fo coefficients from an equilibrium position of focus or center type. Amer. Math. Soc. Trans., 100: 397–413 (1954)

2. Blows, T.R., Rousseau, C. Bifurcation at infinity in polynomial vector fields. Journal of Differential Equations, 104: 215–242 (1993)

3. Chen, X., Zhang, W. Decomposition of algebraic sets and applications to weak centers of cubic systems. J. Comput. Appl. Math., 232: 565–581 (2009)

4. Chicone, C., Jacobs, M. Bifurcation of critical periods for plane vector fields. Transactions Amer. Math. Soc., 312: 319–329 (1989)

5. Cima, A., Gasull, A., da Silvab, P.R. On the number of critical periods for planar polynomial systems. Nonlinear Analysis, 69: 1889–1903 (2008)

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Qualitative Analysis of the Minimal Higgins Model of Glycolysis;Match - Communications in Mathematical and in Computer Chemistry;2023-07

2. Multiple Bifurcations of Critical Period for a Quartic Kolmogorov Model;Acta Mathematicae Applicatae Sinica, English Series;2021-10

3. SIXTEEN LARGE-AMPLITUDE LIMIT CYCLES IN A SEPTIC SYSTEM;Journal of Applied Analysis & Computation;2018