Hamiltonian Systems in the Neighbourhood of an Equilibrium Solution - Part Two - the Stability of Periodic Solutions

Details Hamiltonian Systems in the Neighbourhood of an Equilibrium Solution - Part Two - the Stability of Periodic Solutions Hamiltonian Systems in the Neighbourhood of an Equilibrium Solution - Part Two - the Stability of Periodic Solutions

Mar 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..32..247s&link_type=abstract

Celestial Mechanics, Volume 32, Issue 3, pp.247-256

Physics

2

Scientific paper

The stability of the periodic solutions for an Hamiltonian system is investigated. Here the distinct eigenvalues λk of the matrix of the unperturbated linear system are such that λk-λj = iqω for any [k, j]; i = √-1, q is an integer, ω is the frequency of the periodic solution. An application is made for a system with three degrees of freedom, near the resonance 2:2:1.

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