# Lyapunov stability of Vlasov Equilibria using Fourier-Hermite modes

@inproceedings{Pavskauskas2009LyapunovSO, title={Lyapunov stability of Vlasov Equilibria using Fourier-Hermite modes}, author={Rytis Pavskauskas and Giovanni De Ninno}, year={2009} }

We propose an efficient method to compute Lyapunov exponents and Lyapunov eigenvectors of long-range interacting many-particle systems, whose dynamics is described by the Vlasov equation. We show that an expansion of a distribution function using Hermite modes (in momentum variable) and Fourier modes (in configuration variable) converges fast if an appropriate scaling parameter is introduced and identified with the inverse of the system temperature. As a consequence, dynamics and linear…

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