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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; published in the issue dated 15 January 1996

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