COMPUTATION OF LYAPUNOV EXPONENTS FOR SPATIALLY EXTENDED SYSTEMS: ADVANTAGES AND LIMITATIONS OF VARIOUS NUMERICAL METHODS
Cite this article as:
Kuptsov P. V. COMPUTATION OF LYAPUNOV EXPONENTS FOR SPATIALLY EXTENDED SYSTEMS: ADVANTAGES AND LIMITATIONS OF VARIOUS NUMERICAL METHODS. Izvestiya VUZ. Applied Nonlinear Dynamics, 2010, vol. 18, iss. 5, pp. 91-110. DOI: https://doi.org/10.18500/0869-6632-2010-18-5-91-110
Problems emerging in computations of Lyapunov exponents for spatially extended systems are considered. We concentrate on the incorrect orthogonalization of high sized ill conditioned matrices appearing in course of the computation, and on large errors emerging under certain conditions if the finite difference numerical method is applied to solve equations. The practical guidelines helping to avoid the mentioned problems are represented.
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BibTeX
author = {P. V. Kuptsov},
title = {COMPUTATION OF LYAPUNOV EXPONENTS FOR SPATIALLY EXTENDED SYSTEMS: ADVANTAGES AND LIMITATIONS OF VARIOUS NUMERICAL METHODS},
year = {2010},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {18},number = {5},
url = {https://old-andjournal.sgu.ru/en/articles/computation-of-lyapunov-exponents-for-spatially-extended-systems-advantages-and-limitations},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2010-18-5-91-110},pages = {91--110},issn = {0869-6632},
keywords = {Lyapunov exponents,spatiotemporal chaos,finite difference method,complex Ginzburg–Landau equation,QRdecomposition.},
abstract = {Problems emerging in computations of Lyapunov exponents for spatially extended systems are considered. We concentrate on the incorrect orthogonalization of high sized ill conditioned matrices appearing in course of the computation, and on large errors emerging under certain conditions if the finite difference numerical method is applied to solve equations. The practical guidelines helping to avoid the mentioned problems are represented. }}