The number of limit cycles of a quintic polynomial system

Ali Atabaigi, Nemat Nyamoradi, Hamid R. Z. Zangeneh

Type: Article

Publication Date: 2008-12-06

Citations: 22

DOI: https://doi.org/10.1016/j.camwa.2008.10.079

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Computers & Mathematics with Applications - View

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+	Zeros of Abelian integrals for a quartic Hamiltonian with figure-of-eight loop through a nilpotent saddle	2015	Jihua Yang Liqin Zhao
+ PDF Chat	Limit cycles bifurcating from a perturbed quartic center	2011	B. Coll Jaume Llibre R. Prohens
+	On the number of limit cycles of a perturbed cubic polynomial differential center	2013	Shimin Li Yulin Zhao Jun Li
+	The number of limit cycles from a cubic center by the Melnikov function of any order	2019	Peixing Yang Jiang Yu
+	On the Chebyshev property for a new family of functions	2011	Armengol Gasull J. Tomás Lázaro Joan Torregrosa
+	The cyclicity of period annuli for a class of cubic Hamiltonian systems with nilpotent singular points	2017	Jihua Yang Liqin Zhao
+ PDF Chat	Upper bounds for the number of zeroes for some Abelian integrals	2012	Armengol Gasull J. Tomás Lázaro Joan Torregrosa
+	On the Abelian integrals of quadratic reversible centers with orbits formed by genus one curves of higher degree	2015	Xiaochun Hong Shaolong Xie Rui Ma
+ PDF Chat	Poincaré–Pontryagin–Melnikov Functions for a Type of Perturbed Degenerate Hamiltonian Equations	2016	Salomón Rebollo-Perdomo
+	Upper bounds for the number of zeroes for some Abelian integrals	2010	Armengol Gasull J. Tomás Lázaro Joan Torregrosa

Works Cited by This (13)

Action	Title	Year	Authors
+	Normal Forms and Bifurcation of Planar Vector Fields	1994	Shui-Nee Chow Chengzhi Li Duo Wang
+	Averaging analysis of a perturbated quadratic center	2001	Jaume Llibre Jesús S. Pérez del Rı́o José Ángel Rodríguez
+	Number of zeros of complete elliptic integrals	1984	G. S. Petrov
+	Global bifurcation of limit cycles in a family of polynomial systems	2004	Guanghui Xiang Maoan Han
+	Linear estimate for the number of limit cycles of a perturbed cubic polynomial differential system	2008	Jaume Llibre Hao Wu Jiang Yu
+	The chebyshev property of elliptic integrals	1988	G. S. Petrov
+	Bifurcation of Limit Cycles from Centers and Separatrix Cycles of Planar Analytic Systems	1994	Terence R. Blows L. M. Perko
+	Limit cycles of a perturbed cubic polynomial differential center	2006	Adriana Buică Jaume Llibre
+	On the nonexistence, existence and uniqueness of limit cycles	1996	Héctor Giacomini Jaume Llibre Mireille Viano
+	On the number of limit cycles surrounding a unique singular point for polynomial differential systems of arbitrary degree	2008	Belén García Jaume Llibre Jesús S. Pérez del Rı́o