Merlo O, Jung C, Seligman TH. Symmetry properties of periodic orbits extracted from scattering data.
CHAOS (WOODBURY, N.Y.) 2004;
14:969-974. [PMID:
15568909 DOI:
10.1063/1.1790611]
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Abstract
Discrete symmetries of a system are reflected in the properties of the shortest periodic orbits. By applying a recent method to extract these from the scaling of the fractal structure in scattering functions, we show how the symmetries can be extracted from scattering data simultaneously with the periods and the Lyapunov exponents. We pay particular attention to the change of scattering data under a small symmetry breaking.
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