ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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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: 10.18500/0869-6632-2010-18-5-91-110

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Computation of Lyapunov exponents for spatially extended systems: advantages and limitations of various numerical methods

Kuptsov Pavel Vladimirovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences

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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