Saddle connections in planar systems

Hana Lichardová

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

Similarity:

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]

Similarity:

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]

Similarity:

Bifurcations in the two imaginary centers problem

Cristina Chiralt, Beatriz Campos, Pura Vindel (2011)

Mathematica Bohemica

Similarity:

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.

From transverse heteroclinic cycles to transverse homoclinic orbits

Flaviano Battelli, Michal Fečkan (2005)

Mathematica Slovaca

Similarity:

Homoclinic orbits for a class of singular second order Hamiltonian systems in ℝ3

Joanna Janczewska, Jakub Maksymiuk (2012)

Open Mathematics

Similarity:

We consider a conservative second order Hamiltonian system $\ddot{q} + \nabla V (q) = 0$ in ℝ3 with a potential V having a global maximum at the origin and a line l ∩ 0 = ϑ as a set of singular points. Under a certain compactness condition on V at infinity and a strong force condition at singular points we study, by the use of variational methods and geometrical arguments, the existence of homoclinic solutions of the system.