Local Scaling in Homogeneous Hamiltonian Systems

A. Lakshminarayan; M. S. Santhanam; V. B. Sheorey

doi:10.1103/physrevlett.76.396

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arXiv · chao-dyn/9511006

Local Scaling in Homogeneous Hamiltonian Systems

A. Lakshminarayan·M. S. Santhanam·V. B. Sheorey

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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.

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A. Lakshminarayan, M. S. Santhanam, V. B. Sheorey. 1995-11-24. Local Scaling in Homogeneous Hamiltonian Systems. https://doi.org/10.1103/physrevlett.76.396

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