Lyapunov Exponents without Rescaling and Reorthogonalization
Rangarajan, Govindan · Habib, Salman · Ryne, Robert D.
Original · EN
We present a new method for the computation of Lyapunov exponents utilizing representations of orthogonal matrices applied to decompositions of M or MMₜrans 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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