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Computing Lyapunov spectra with continuous Gram-Schmidt orthonormalization
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UNSPECIFIED (1997) Computing Lyapunov spectra with continuous Gram-Schmidt orthonormalization. NONLINEARITY, 10 (5). pp. 1063-1072. ISSN 0951-7715.
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Abstract
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 | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Journal or Publication Title: | NONLINEARITY | ||||
Publisher: | IOP PUBLISHING LTD | ||||
ISSN: | 0951-7715 | ||||
Official Date: | September 1997 | ||||
Dates: |
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Volume: | 10 | ||||
Number: | 5 | ||||
Number of Pages: | 10 | ||||
Page Range: | pp. 1063-1072 | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
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