A geometric approach to invariant sets for dynamical systems.

Medina, David; Padilla, Pablo

Displaying similar documents to “A geometric approach to invariant sets for dynamical systems.”

Cubic and quartic planar differential systems with exact algebraic limit cycles.

Bendjeddou, Ahmed, Cheurfa, Rachid (2011)

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

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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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An improvement of the non-existence region for limit cycles of the Bogdanov-Takens system

Makoto Hayashi (2020)

Archivum Mathematicum

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In this paper, an improvement of the global region for the non-existence of limit cycles of the Bogdanov-Takens system, which is well-known in the Bifurcation Theory, is given by two ideas. The first is to apply the existence of the algebraic invariant curve of the system to the Bendixson-Dulac criterion, and the second is to consider a necessary condition in order that a closed orbit of the system includes two equilibrium points. In virtue of these methods, it shall be shown that our...