Browsing by Author "Lacomba, EA"

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The flow of classical mechanical cubic potential systems

Falconi, M; Lacomba, EA; Vidal, C (2004)

This paper describes the global flow of homogeneous polynomial potentials of degree 3 for negative and positive energy. For the negative energy case a blow up of McGehee type is enough to get the complete picture of the ...
Infinity manifolds of cubic polynomial Hamiltonian vector fields with 2 degrees of freedom

Falconi, M; Lacomba, EA; Llibre, J (2000)

Let X be the Hamiltonian vector field with two degrees of freedom associated to the cubic polynomial Hamiltonian H(x,y,z,w). Using the Poincare compactification we show that all the energy levels of X in R-4 reach the ...
On the dynamics of mechanical systems with homogeneous polynomial potentials of degree 4

Falconi, M; Lacomba, EA; Vidal, C (2007)

In this work we study mechanical systems defined by homogeneous polynomial potentials of degree 4 on the plane, when the potential has a definite or semi-definite sign and the energy is non-negative. We get a global ...

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