2015/08/29 by G. J. Alva, Alva, G. J., Mariano García +2
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #math.CA #msc:34D05 #msc:34D20 #msc:93D05
paper · pdf · doi:10.48550/arxiv.1508.07427
arxiv created 2016/03/05 · arxiv updated 2016/03/08
We study the stability of an equilibrium point in a conservative Hamiltonian system in the case that equilibrium is not a minimum of the potential energy and this fact is shown by a jet of this function. Thanks to a modification of a result of Krasovskii, we prove that for a large class of systems under these conditions equilibrium is unstable and there is an asymptotic trajectory to that point.