Saddle connections in planar systems

Hana Lichardová

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Displaying similar documents to “Saddle connections in planar systems”

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.

Whiskered and low dimensional tori in nearly integrable Hamiltonian systems.

de la Llave, R., Wayne, C.E. (2004)

Mathematical Physics Electronic Journal [electronic only]

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Families of whiskered tori for a-priori stable/unstable Hamiltonian systems and construction of unstable orbits.

Valdinoci, Enrico (2000)

Mathematical Physics Electronic Journal [electronic only]

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Bifurcations in the two imaginary centers problem

Cristina Chiralt, Beatriz Campos, Pura Vindel (2011)

Mathematica Bohemica

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In this paper we show that, for a given value of the energy, there is a bifurcation for the two imaginary centers problem. For this value not only the configuration of the orbits changes but also a change in the topology of the phase space occurs.