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Lyapunov Exponents without Rescaling and Reorthogonalization

Govindan Rangarajan·Salman Habib·Robert D. Ryne
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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.

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Govindan Rangarajan, Salman Habib, Robert D. Ryne. 1998-03-12. Lyapunov Exponents without Rescaling and Reorthogonalization. https://doi.org/10.1103/physrevlett.80.3747

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