Local Scaling in Homogeneous Hamiltonian Systems
arXiv:chao-dyn/9511006 · doi:10.1103/PhysRevLett.76.396
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 Poincaré section with exponents depending simply on the degree of homogeneity of the potential.
10 pgs. Plain LaTex, Five Figs. in uuencoded, tar-compressed format. To appear in Phys. Rev. Letts
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