Local Scaling in Homogeneous Hamiltonian Systems

Details Local Scaling in Homogeneous Hamiltonian Systems Local Scaling in Homogeneous Hamiltonian Systems

1995-11-24

arxiv.org/abs/chao-dyn/9511006v1

Nonlinear Sciences

Chaotic Dynamics

10 pgs. Plain LaTex, Five Figs. in uuencoded, tar-compressed format. To appear in Phys. Rev. Letts

Scientific paper

10.1103/PhysRevLett.76.396

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.

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