Characterizing two-timescale nonlinear dynamics using finite-time Lyapunov exponents and subspaces
Author:
Funder
National Science Foundation
Publisher
Elsevier BV
Subject
Applied Mathematics,Modelling and Simulation,Numerical Analysis
Reference61 articles.
1. Exterior algebra-based algorithms to estimate Lyapunov spectra and stretching statistics in high-dimensional and distributed systems;Adrover;Int J Bifurc Chaos,2002
2. Natural tangent dynamics with recurrent biorthonormalizations: A geometric computational approach to dynamical systems exhibiting slow manifolds and periodic/chaotic limit sets;Adrover;Physica D,2006
3. Stretching-based diagnostics and reduction of chemical kinetic models with diffusion;Adrover;J Comput Phys,2007
4. Aykutluğ E, Mease KD. Approximate solution of hypersensitive optimal control problems using finite-time Lyapunov analysis. In: Proceedings of the American Control Conference, June 2009 St. Louis, Missouri.
5. Lyapunov exponents and smooth Ergodic theory;Barreira,2002
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