Directional Quasi-Convexity (DQC) is a sufficient condition for Nekhoroshev stability, that is, stability for finite but very long times, of elliptic equilibria of Hamiltonian systems. The numerical detection of DQC is elementary for system with three degrees of freedom. In this article, we propose a recursive algorithm to test DQC in any number n greater than or equal to 4 of degrees of freedom.
An algorithm for detecting Directional Quasi-Convexity
FASSO', FRANCESCO
2004
Abstract
Directional Quasi-Convexity (DQC) is a sufficient condition for Nekhoroshev stability, that is, stability for finite but very long times, of elliptic equilibria of Hamiltonian systems. The numerical detection of DQC is elementary for system with three degrees of freedom. In this article, we propose a recursive algorithm to test DQC in any number n greater than or equal to 4 of degrees of freedom.
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