Limit cycles for a class of polynomial systems and applications.
Feng, Hanying, Xu, Rui, Liu, Qiming, Yang, Pinghua (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Displaying similar documents to “On the approximation of the limit cycles function.”
Limit cycles for a class of polynomial systems and applications.
The number of limit cycles of a quintic Hamiltonian system with perturbation.
Atabaigi, Ali, Nyamoradi, Nemat, Zangeneh, Hamid R.Z. (2008)
Balkan Journal of Geometry and its Applications (BJGA)
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Global qualitative investigation, limit cycle bifurcations and Applications of Polynomial Dynamical Systems
Gaiko, Valery
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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.
Erlangen program at large-1: geometry of invariants.
Kisil, Vladimir V. (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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A survey on homoclinic and heterocolinic orbits.
Feng, Beiye, Hu, Rui (2003)
Applied Mathematics E-Notes [electronic only]
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Exotic Collatz cycles
John L. Simons (2008)
Acta Arithmetica
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Qualitative analysis for a class of plane systems.
Liu, Zhi-cong, Feng, Bei-ye (2004)
Applied Mathematics E-Notes [electronic only]
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Irregular fibers of complex polynomials in two variables.
Arnaud Bodin (2004)
Revista Matemática Complutense
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For a complex polynomial in two variables we study the morphism induced in homology by the embedding of an irregular fiber in a regular neighborhood of it. We give necessary and sufficient conditions for this morphism to be injective, surjective. Particularly this morphism is an isomorphism if and only if the corresponding irregular value is regular at infinity. We apply these results to the study of vanishing and invariant cycles.