Lyapunov Exponents without Rescaling and Reorthogonalization

Abstract

We present a new method for the computation of Lyapunov exponents utilizing representations of orthogonal matrices applied to decompositions of M or MM_trans where M is the tangent map. This method uses a minimal set of variables, does not require renormalization or reorthogonalization, can be used to efficiently compute partial Lyapunov spectra, and does not break down when the Lyapunov spectrum is degenerate.

4 pages, no figures, uses RevTeX plus macro (included). Phys. Rev. Lett. (in press)

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