Approximate and efficient calculation of dominant Lyapunov exponents of high-dimensional nonlinear dynamic systems

DOI10.1016/J.CNSNS.2013.03.013zbMath1344.37086OpenAlexW2071015347MaRDI QIDQ312814

Mohammad Hasan, M. Dambrine

Publication date: 9 September 2016

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2013.03.013

zbMATH Keywords

dominant Lyapunov exponentshigh-dimensional nonlinear dynamic systemslinear model reduction theoryreduced-order models

Mathematics Subject Classification ID

Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

Cites Work

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• Jacobian free computation of Lyapunov exponents
• Stability and Lyapunov stability of dynamical systems: a differential approach and a numerical method
• Estimation of the largest Lyapunov exponent in systems with impacts
• Computing Lyapunov exponents of continuous dynamical systems: Method of Lyapunov vectors
• A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems

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