Lyapunov spectra with continuous
نویسنده
چکیده
We present a straightforward and reliable continuous method for computing the full or a partial Lyapunov spectrum associated with a dynamical system specified by a set of differential equations. We do this by introducing a stability parameter β > 0 and augmenting the dynamical system with an orthonormal k-dimensional frame and a Lyapunov vector such that the frame is continuously Gram-Schmidt orthonormalized and at most linear growth of the dynamical variables is involved. We prove that the method is strongly stable when β > −λ k where λ k is the k'th Lyapunov exponent in descending order and we show through examples how the method is implemented. It extends many previous results.
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