LYAPUNOV EXPONENTS WITHOUT RESCALING AND REORTHOGONALIZATION

We present a new method for the computation of Lyapunov exponents util izing representations of orthogonal matrices applied to decompositions of M or M (M) over tilde where M is the tangent map. This method uses a minimal set of variables, does not require renormalization or reort hogonalization, can be used to efficiently compute partial Lyapunov sp ectra, and does not break down when the Lyapunov spectrum is degenerat e.