Global qualitative investigation, limit cycle bifurcations and Applications of Polynomial Dynamical Systems
Gaiko, Valery
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Displaying similar documents to “A survey on homoclinic and heterocolinic orbits.”
Global qualitative investigation, limit cycle bifurcations and Applications of Polynomial Dynamical Systems
Bifurcation analysis of the Hénon map.
Zhusubaliyev, Zhanybai T., Rudakov, Vadim N., Soukhoterin, Evgeniy A., Mosekilde, Erik (2000)
Discrete Dynamics in Nature and Society
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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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Simple examples of one-parameter planar bifurcations.
Armengol Gasull, Rafel Prohens (2000)
Extracta Mathematicae
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In this paper we give simple and low degree examples of one-parameter polynomial families of planar differential equations which present generic, codimension one, isolated, compact bifurcations. In contrast with some examples which appear in the usual text books each bifurcation occurs when the bifurcation parameter is zero. We study the total number of limit cycles that the examples present and we also make their phase portraits on the Poincaré sphere.
Existence and distribution of limit cycles in a Hamiltonian system.
Tigan, Gheorghe (2006)
Applied Mathematics E-Notes [electronic only]
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Persistent homoclinic tangencies and the unfolding of cycles
Lorenzo J. Díaz, Raúl Ures (1994)
Annales de l'I.H.P. Analyse non linéaire
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Hopf-like bifurcations in planar piecewise linear systems.
Emilio Freire, Enrique Ponce, Francisco Torres (1997)
Publicacions Matemàtiques
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Continuous planar piecewise linear systems with two linear zones are considered. Due to their low differentiability specific techniques of analysis must be developed. Several bifurcations giving rise to limit cycles are pointed out.
Bifurcation of closed orbits from a limit cycle in
Vinicio Moauro (1981)
Rendiconti del Seminario Matematico della Università di Padova
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