Hénon-Heiles Type Hamiltonian in Cosmological Perspective

Details Hénon-Heiles Type Hamiltonian in Cosmological Perspective Hénon-Heiles Type Hamiltonian in Cosmological Perspective

Jul 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003icrc....3.1717c&link_type=abstract

Proceedings of the 28th International Cosmic Ray Conference. July 31-August 7, 2003. Trukuba, Japan. Under the auspices of the I

Physics

Scientific paper

Cosmic rays may provide some physical realization of the Henon-Heiles type Hamiltonian model which is otherwise wild enough. Keeping this view in mind, we investigate the Henon-Heiles type Hamiltonian with indefinite kinetic energy term. Though it is oversimplified, imposing cosmological constraint and taking the advantage of indefinite kinetic energy term the Hamiltonian can be proposed for general relativistic situation. Thus we are able to find out some new integrability conditions of the Hamiltonian.

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