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Extraction of information about periodic orbits from scattering functions

Thomas Bütikofer, Christof Jung, Thomas H. Seligman

chao-dynarXiv:chao-dyn/9912020

Abstract

As a contribution to the inverse scattering problem for classical chaotic systems, we show that one can select sequences of intervals of continuity, each of which yields the information about period, eigenvalue and symmetry of one unstable periodic orbit.

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