Local Scaling in Homogeneous Hamiltonian Systems
chao-dyn
2009-10-28 v1 Chaotic Dynamics
Abstract
We study the local scaling properties associated with straight line periodic orbits in homogeneous Hamiltonian systems, whose stability undergoes repeated oscillations as a function of one parameter. We give strong evidence of local scaling of the Poincar\'{e} section with exponents depending simply on the degree of homogeneity of the potential.
Cite
@article{arxiv.chao-dyn/9511006,
title = {Local Scaling in Homogeneous Hamiltonian Systems},
author = {A. Lakshminarayan and M. S. Santhanam and V. B. Sheorey},
journal= {arXiv preprint arXiv:chao-dyn/9511006},
year = {2009}
}
Comments
10 pgs. Plain LaTex, Five Figs. in uuencoded, tar-compressed format. To appear in Phys. Rev. Letts