The Analytic Structures of Dynamical Systems.
Final rept. 1 Oct 85-31 Mar 86,
CALIFORNIA UNIV SAN DIEGO LA JOLLA INST FOR PURE AND APPLIED PHYSICAL SCIENCES
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A baclund transformation and linearization for an instance of the henon heiles system is examined. This provides a special form of solution depending on the three parameters. In addition, a direct formulation in terms of the schwarzian derivative is defined for the henon heiles system and second Painleve transcendent. This provides 1 a classification of the Henon Heiles system as equations of Novikov type and 2 a simple method for deriving the Backlund transformations and special solutions of the second Painleve transcendent. As equations of Novikov type the integrable occurrences of the Henon Heiles system can be completely integrated by known methods.
- Numerical Mathematics