Poisson-Gradient Dynamical Systems with Convex Potential

Details Poisson-Gradient Dynamical Systems with Convex Potential Poisson-Gradient Dynamical Systems with Convex Potential

2005-10-26

arxiv.org/abs/math/0510565v1

Proceedings of The 3-rd International Colloquium "Mathematics in Engineering and Numerical Physics", October 7-9, 2004, Univer

Mathematics

Dynamical Systems

Proceedings of The 3-rd International Colloquium "Mathematics in Engineering and Numerical Physics", October 7-9, 2004, Univer

Scientific paper

The basic aim is to extend some results and concepts of non-autonomous second order differential systems with convex potentials to the new context of multi-time Poisson-gradient PDE systems with convex potential. In this sense, we prove that minimizers of a suitable action functional are multiple periodical solutions of a Dirichlet problem associated to the Euler-Lagrange equations. Automatically, these are solutions of the associated multi-time Hamiltonian equations.

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