Continued-fraction expansion of eigenvalues of generalized evolution operators in terms of periodic orbits

Abstract

A new expansion scheme to evaluate the eigenvalues of the generalized evolution operator (Frobenius-Perron operator) $H_q$ relevant to the fluctuation spectrum and poles of the order-$q$ power spectrum is proposed. The ``partition function'' is computed in terms of unstable periodic orbits and then used in a finite pole approximation of the continued fraction expansion for the evolution operator. A solvable example is presented and the approximate and exact results are compared; good agreement is found.

CYCLER Paper 93mar007

References in corpus (1)

• Symmetry Decomposition of Chaotic Dynamics

Cited by in corpus (1)

• Approach to ergodicity in quantum wave functions