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Showing 1 to 3 of 3 for “"Lyapunov Diagnostics"”.
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Quantifying Spatio-Temporal Chaos in Rayleigh Bénard Convection
… as its linearized solutions in order to obtain Lyapunov diagnostics. The emphasis is on the effects that the domain size Γ (gamma) has on the system dynamics (Γ = radius/depth for a cylindrical domain). Temperature fields were viewed for different Γ's) and a transition to spiral defect chaos was …
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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 …
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Gaining New Insights into Spatiotemporal Chaos with Numerics
… we quantified the dynamics of the spectrum of Lyapunov exponents and the leading order Lyapunov vector in an effort to connect directly with the dynamics of the flow field patterns. Further, we numerically studied the synchronization of chaos in convective flows by imposing time-dependent …