Numerical Studies on a bi-Hamiltonian Henon-Heiles

B. Karasozen

Department of Mathematics, Middle East Technical University 06531 Ankara - Turkey

An integrable two-degree of freedom Henon-Heiles system in bi-Hamiltonian form is integrated by reversible, symplectic and integral preserving methods. The methods are compared by presenting numerical results for long time behavior of the Hamiltonians and Poincare sections.

KEYWORDS: Bi-Hamiltonian systems, Henon-Heiles system, composition methods, integral preserving methods, conservation of integrals, Poincare sections.