92-104 Olvera A., Vargas C.

A continuation method to study periodic orbits of the Froeschle map. (2166K, ps) Sep 4, 92

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Abstract. The dynamics of many hamiltonian systems with three degrees of freedom is represented by the Froechle map, which is symplectic and four dimensional. In this paper we study sequences of periodic orbits approaching the invariant tori in order to obtain information about its stability. A homotopic method is used to continue the branches of periodic orbits. We found that the existence of turning points is related to the linear stability of the periodic orbit and its rotation vector.

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