Local Scaling in Homogeneous Hamiltonian Systems
classification
chao-dyn
nlin.CD
keywords
localscalinghamiltonianhomogeneoussystemsassociateddegreedepending
read the original 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.
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