Stability criterion for Hamiltonian systems

A. Lonke and R. Caboz

Physica A: Statistical Mechanics and its Applications, 1979, vol. 99, issue 1, 350-356

Abstract: The conditions under which the phase space trajectories of a perturbed Hamiltonian system preserve conditional periodicity are investigated. It is shown that the sufficient and necessary condition for the stability of the system is the self-adjointness of the Liouville operator in the Hilbert space of functions absolute square integrable on the energy surface of the system in the phase space.

Date: 1979
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:99:y:1979:i:1:p:350-356

DOI: 10.1016/0378-4371(79)90142-0

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