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Phys. Rev. Lett. 76, 396 - 399 (1996)

Local Scaling in Homogeneous Hamiltonian Systems

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A. Lakshminarayan, M. S. Santhanam, and V. B. Sheorey
Physical Research Laboratory, Navarangapura, Ahmedabad, 380009, India

Received 15 August 1995

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.


©1996 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevLett.76.396
DOI: 10.1103/PhysRevLett.76.396
PACS: 05.45.+b

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