Loading...
On the Compuation of Lyapunov Exponents for Continuous Dynamical Systems
Dieci, Luca Russell, Robert D. Van Vleck, Erik S.
Dieci, Luca
Russell, Robert D.
Van Vleck, Erik S.
Citations
Altmetric:
Abstract
In this paper, we consider discrete and continuous QR algorithms for computing all of the Lyapunov exponents of a regular dynamical system. We begin by reviewing theoretical results for regular systems and present general perturbation results for Lyapunov exponents. We then present the algorithms, give an error analysis of them, and describe their implementation. Finally, we give several numerical examples and some conclusions.
Description
This is the published version, also available here: http://dx.doi.org/10.1137/S0036142993247311.
Date
1997-02-05
Journal Title
Journal ISSN
Volume Title
Publisher
Society for Industrial and Applied Mathematics
Collections
Files
Research Projects
Organizational Units
Journal Issue
Keywords
lyapunov exponets, regular systems, exponential dichotomy, point spectrum, orthogonalization techniques, error analysis
Citation
Dieci, Luca., Russell, Robert D., Van Vleck, Erik. "On the Compuation of Lyapunov Exponents for Continuous Dynamical Systems." (1997) SIAM J. Numer. Anal., 34(1), 402–423. (22 pages). http://dx.doi.org/10.1137/S0036142993247311.