Richness or Semi-Hamiltonicity of quasi-linear systems which are not in evolution form

2011/01/31 by Michael Michael, Michael, Bialy
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Control and Stability of Dynamical Systems #Matrix Theory and Algorithms #Quantum chaos and dynamical systems #math.AP #nlin.SI

paper · pdf · doi:10.48550/arxiv.1101.5897

arxiv created 2011/01/31 · arxiv updated 2011/02/02

Abstract

The aim of this paper is to consider quasi-linear systems which are not in the form of evolution equations. We propose new condition of Richness or Semi-Hamiltonicity for such a system and prove that the blow up analysis along characteristic curves can be performed for it in an analogous manner. This opens a possibility to use this ansatz also for geometric problems. We apply the results to the problem of Polynomial integral for geodesic flows on the 2-torus.

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