| dc.contributor.author | Dieci, Luca | |
| dc.contributor.author | Russell, Robert D. | |
| dc.contributor.author | Van Vleck, Erik S. | |
| dc.date.accessioned | 2015-04-02T16:22:21Z | |
| dc.date.available | 2015-04-02T16:22:21Z | |
| dc.date.issued | 1997-02-05 | |
| dc.identifier.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. | en_US |
| dc.identifier.uri | http://hdl.handle.net/1808/17286 | |
| dc.description | This is the published version, also available here: http://dx.doi.org/10.1137/S0036142993247311. | en_US |
| dc.description.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. | en_US |
| dc.publisher | Society for Industrial and Applied Mathematics | en_US |
| dc.subject | lyapunov exponets | en_US |
| dc.subject | regular systems | en_US |
| dc.subject | exponential dichotomy | en_US |
| dc.subject | point spectrum | en_US |
| dc.subject | orthogonalization techniques | en_US |
| dc.subject | error analysis | en_US |
| dc.title | On the Compuation of Lyapunov Exponents for Continuous Dynamical Systems | en_US |
| dc.type | Article | |
| kusw.kuauthor | Van Vleck, Erik | |
| kusw.kudepartment | Mathematics | en_US |
| dc.identifier.doi | 10.1137/S0036142993247311 | |
| kusw.oaversion | Scholarly/refereed, publisher version | |
| kusw.oapolicy | This item does not meet KU Open Access policy criteria. | |
| dc.rights.accessrights | openAccess | |
