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Showing 1 to 2 of 2 for “"Covariant Lyapunov Vectors"”.
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Investigating Hamiltonian dynamics by the method of covariant Lyapunov vectors
In this thesis, we review the theory of Lyapunov exponents and covariant Lyapunov vectors (CLVs) and use these objects to numerically investigate the dynamics of several autonomous Hamiltonian systems. The algorithm which we use for computing CLVs is the one developed by Ginelli and collaborators …
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Spatiotemporal Chaos in Large Systems Driven Far-From-Equilibrium: Connecting Theory with Experiment
… which can provide new physical insights. Lyapunov diagnostics can provide important information about the dynamics of small perturbations for chaotic systems. Covariant Lyapunov vectors reveal the true direction of perturbation growth and decay. The degree of hyperbolicity can also be …