Turkish Journal of Physics
Abstract
The dynamics of a system subjected to a potential equal to the sum of the Hénon--Heiles potential and that of hydrogen in an electric field was studied. The 4 Hamilton's equations of motion follow from the Hamiltonian and they were integrated numerically using the Runge-Kutta fourth order method. The Poincaré surface of a section fixed at x = 0 and px> 0 was used to reduce the phase space to a 2-dimensional plane. The analysis of the Poincaré surface, the Lyapunov exponent, and the autocorrelation shows that as the constant of motion, E, increases from 0.30 to 0.45, the dynamics makes a transition from periodic and quasi-periodic to chaotic motions.
DOI
10.3906/fiz-1208-5
Keywords
Hamiltonian, Hénon-Heiles, Poincaré section, Lyapunov exponent, autocorrelation
First Page
380
Last Page
386
Recommended Citation
ECHI, I. M, AMAH, A. N, & ANTHONY, E (2013). Regular and chaotic motions in Hénon-Heiles like Hamiltonian. Turkish Journal of Physics 37 (3): 380-386. https://doi.org/10.3906/fiz-1208-5
