On the critical periods of Liénard systems with cubic restoring forces.

Du, Zhengdong

Displaying similar documents to “On the critical periods of Liénard systems with cubic restoring forces.”

A polynomial with 2k critical values at infinity

Janusz Gwoździewicz, Maciej Sękalski (2004)

Annales Polonici Mathematici

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We construct a polynomial f:ℂ² → ℂ of degree 4k+2 with no critical points in ℂ² and with 2k critical values at infinity.

Existence of positive, negative, and sign-changing solutions to discrete boundary value problems.

Zheng, Bo, Xiao, Huafeng, Shi, Haiping (2011)

Boundary Value Problems [electronic only]

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A classification of bicritical rational maps with a pair of period two superattracting cycles

Adam Epstein, Thomas Sharland (2012)

Annales de la faculté des sciences de Toulouse Mathématiques

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We give a Thurston classification of those bicritical rational maps which have two period two superattracting cycles. We also show that all such maps are constructed by the mating of two unicritical degree $d$ polynomials.

Critical groups of critical points produced by local linking with applications.

Perera, Kanishka (1998)

Abstract and Applied Analysis

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Homological local linking.

Perera, Kanishka (1998)

Abstract and Applied Analysis

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Superlinear elliptic equations

A. Bahri (1986-1987)

Séminaire Équations aux dérivées partielles (Polytechnique)

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Existence of multiple critical points for an asymptotically quadratic functional with applications.

Li, Shujie, Su, Jiabao (1996)

Abstract and Applied Analysis

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Erratum to : “Multiple critical points of perturbed symmetric strongly indefinite functionals”

Denis Bonheure, Miguel Ramos (2009)

Annales de l'I.H.P. Analyse non linéaire

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On the critical pair theory in ℤ/pℤ

Yahya Ould Hamidoune, Oriol Serra, Gilles Zémor (2006)

Acta Arithmetica

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The Łojasiewicz gradient inequality in a neighbourhood of the fibre

Janusz Gwoździewicz, Stanisław Spodzieja (2005)

Annales Polonici Mathematici

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Some estimates of the Łojasiewicz gradient exponent at infinity near any fibre of a polynomial in two variables are given. An important point in the proofs is a new Charzyński-Kozłowski-Smale estimate of critical values of a polynomial in one variable.

Quadratic vector fields with a weak focus of third order.

Joan C. Artés, Jaume Llibre (1997)

Publicacions Matemàtiques

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We study phase portraits of quadratic vector fields with a weak focus of third order at the origin. We show numerically the existence of at least 20 different global phase portraits for such vector fields coming from exactly 16 different local phase portraits available for these vector fields. Among these 20 phase portraits, 17 have no limit cycles and three have at least one limit cycle.