Center cyclicity of a family of quartic polynomial differential system

Author:

García Isaac A.,Llibre Jaume,Maza Susanna

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference16 articles.

1. Andronov, AA.: Theory of bifurcations of dynamic systems on a plane, John Wiley and Sons, New York, (1973)

2. Bautin, NN.: On the number of limit cycles which appear with the variations of the coefficients from an equilibrium point of focus or center type, AMS Translations-Series 1, 5, 1962, 396–413 [Russian original: Math. Sbornik, 30, 1952, 181–196

3. Cox, D.; Little, J.; O’Shea, D.: Ideals, varieties and algorithms: an introduction to computational algebraic geometry and commutative algebra. New York: Springer, 3rd edition, (2007)

4. Dulac H: Détermination et intégration dune certaine classe déquations différentielles ayant pour point singulier un centre, Bull. Sci. Math. 32, 230–252 (1908)

5. Ferčec B, Levandovskyy V, Romanovski VG, Shafer DS: Bifurcation of Critical Periods of Polynomial Systems. J. Differential Equations 259, 3825–3853 (2015)

Cited by 2 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. Centers and Limit Cycles of a Generalized Cubic Riccati System;International Journal of Bifurcation and Chaos;2020-02

2. Bifurcation of critical periods of a quartic system;Electronic Journal of Qualitative Theory of Differential Equations;2018

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