Computing Lyapunov spectra with continuous Gram-Schmidt orthonormalization
UNSPECIFIED. (1997) Computing Lyapunov spectra with continuous Gram-Schmidt orthonormalization. NONLINEARITY, 10 (5). pp. 1063-1072. ISSN 0951-7715Full text not available from this repository.
We present a straightforward and reliable continuous method for computing the full or partial Lyapunov spectrum associated with a dynamical system specified by a set of differential-equations. We do this by introducing a stability parameter beta > 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 beta > -lambda(k) where lambda(k) is the kth Lyapunov exponent in descending order and we show through examples how the method is implemented. It extends many previous results.
|Item Type:||Journal Article|
|Subjects:||Q Science > QA Mathematics
Q Science > QC Physics
|Journal or Publication Title:||NONLINEARITY|
|Publisher:||IOP PUBLISHING LTD|
|Number of Pages:||10|
|Page Range:||pp. 1063-1072|
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