Název:
Lyapunov exponents – practical computation
Autoři:
Fischer, Cyril ; Náprstek, Jiří Typ dokumentu: Příspěvky z konference Konference/Akce: Engineering Mechanics 2017 /23./, Svratka (CZ), 20170515
Rok:
2017
Jazyk:
eng
Abstrakt: The Lyapunov exponents serve as numerical characteristics of dynamical systems, which measure possible divergence of nearby trajectories of the solution. In this way they express dependence of the dynamical system on initial conditions. However, the value of Lyapunov exponents consists in their ability to characterise deterministic chaos. The limiting process intrinsic in the definition of Lyapunov exponents, unfortunately, seriously complicates their computation. The short paper presents an overview of difficulties in numerical approaches to enumeration of Lyapunov exponents or at least the largest one and shows a promising method based on QR decomposition of the system Jacobian.
Klíčová slova:
dynamical system; Lyapunov exponent; non-linear system Číslo projektu: GA15-01035S (CEP) Poskytovatel projektu: GA ČR Zdrojový dokument: Engineering Mechanics 2017, ISBN 978-80-214-5497-2, ISSN 1805-8248
Instituce: Ústav teoretické a aplikované mechaniky AV ČR
(web)
Informace o dostupnosti dokumentu:
Dokument je dostupný v příslušném ústavu Akademie věd ČR. Původní záznam: http://hdl.handle.net/11104/0271694