Time-Reversible Hamiltonian Vector Fields with Symplectic Symmetries: Dedicated to Shui-Nee Chow on the Occasion of His 60th Birthday

Author: Buzzi C.A.   Teixeira M.A.  

Publisher: Springer Publishing Company

ISSN: 1040-7294

Source: Journal of Dynamics and Differential Equations, Vol.16, Iss.2, 2004-04, pp. : 559-574

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Abstract

This paper deals with the dynamics of time-reversible Hamiltonian vector fields with two degrees of freedom around an elliptic equilibrium point in presence of 1−1 resonance. The main result says that under certain conditions there are two one-parameter families of reversible periodic solutions terminating at the equilibrium.

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