Higher order branching of periodic orbits from polynomial isochrones.
Toni, B. (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Displaying similar documents to “Branching of periodic orbits from Kukles isochrones.”
Higher order branching of periodic orbits from polynomial isochrones.
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.
Hoptf bifurcation from infinity for planar control systems.
Jaume Llibre, Enrique Ponce (1997)
Publicacions Matemàtiques
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Symmetric piecewise linear bi-dimensional systems are very common in control engineering. They constitute a class of non-differentiable vector fields for which classical Hopf bifurcation theorems are not applicable. For such systems, sufficient and necessary conditions for bifurcation of a limit cycle from the periodic orbit at infinity are given.
Bifurcation of multi-bump homoclinics in systems with normal and slow variables.
Fečkan, Michal (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Hopf bifurcation for the equation .
Acosta, Antonio, Lizana, Marcos (2005)
Divulgaciones Matemáticas
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Limit cycles in the equation of whirling pendulum with autonomous perturbation
Hana Lichardová (1999)
Applications of Mathematics
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The two-parameter Hamiltonian system with the autonomous perturbation is considered. Via the Mel’nikov method, existence and uniqueness of a limit cycle of the system in a certain region of a two-dimensional space of parameters is proved.
Multiple periodic solutions to a suspension bridge O. D. E.
McKenna, P.J., Moore, K.S. (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Global qualitative investigation, limit cycle bifurcations and Applications of Polynomial Dynamical Systems
Gaiko, Valery
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Hill problem analytical theory to the order four: application to the computation of frozen orbits around planetary satellites.
Lara, Martin, Palacián, Jesús F. (2009)
Mathematical Problems in Engineering
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