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
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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.
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Kisil, Vladimir V. (2010)
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Exotic Collatz cycles
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Qualitative analysis for a class of plane systems.
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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.