Limit cycles for a class of polynomial systems and applications.

Feng, Hanying; Xu, Rui; Liu, Qiming; Yang, Pinghua

Displaying similar documents to “Limit cycles for a class of polynomial systems and applications.”

On the approximation of the limit cycles function.

Cherkas, L., Grin, A., Schneider, K.R. (2007)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Polynomial systems: a lower bound for the weakened 16th Hilbert problem.

Chengzhi Li, Weigu Li, Jaume Llibre, Zhifen Zhang (2001)

Extracta Mathematicae

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In this paper we provide the greatest lower bound about the number of (non-infinitesimal) limit cycles surrounding a unique singular point for a planar polynomial differential system of arbitrary degree.

Exotic Collatz cycles

John L. Simons (2008)

Acta Arithmetica

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Centres and limit cycles for an extended Kukles system.

Hill, Joe M., Lloyd, Noel G., Pearson, Jane M. (2007)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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On the number of limit cycles of a generalized Abel equation

Naeem Alkoumi, Pedro J. Torres (2011)

Czechoslovak Mathematical Journal

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New results are proved on the maximum number of isolated $T$ -periodic solutions (limit cycles) of a first order polynomial differential equation with periodic coefficients. The exponents of the polynomial may be negative. The results are compared with the available literature and applied to a class of polynomial systems on the cylinder.

Effective polynomial upper bounds to perigees and numbers of (3x+d)-cycles of a given oddlength

Edward G. Belaga (2003)

Acta Arithmetica

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Polynomial cycles in certain rings of rationals

Władysław Narkiewicz (2002)

Journal de théorie des nombres de Bordeaux

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It is shown that the methods established in [HKN3] can be effectively used to study polynomial cycles in certain rings. We shall consider the rings $𝐙 [\frac{1}{N}]$ and shall describe polynomial cycles in the case when $N$ is either odd or twice a prime.