Contribution of individual degrees of freedom to Lyapunov vectors in many-body systems

DOI10.1016/j.cnsns.2019.03.011zbMath1493.70047arXiv1902.08518OpenAlexW2921344880WikidataQ128230648 ScholiaQ128230648MaRDI QIDQ2207459

L. H. Miranda Filho, T. M. Rocha Filho, Yves Elskens, M. A. Amato

Publication date: 22 October 2020

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

Full work available at URL: https://arxiv.org/abs/1902.08518

zbMATH Keywords

chaosLyapunov exponentsmolecular dynamicsHamiltonian mean fieldkinetic space

Mathematics Subject Classification ID

Dynamical systems in classical and celestial mechanics (37N05) Dynamics of a rigid body and of multibody systems (70E99)

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Cites Work

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• Complex Hamiltonian dynamics. With a foreword by Sergej Flach
• Determining Lyapunov exponents from a time series
• Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
• The microscopic foundations of Vlasov theory for jellium-like Newtonian \(N\)-body systems
• Finite-N dynamics admit no travelling-waves solutions for the Hamiltonian XY model and single-wave collisionless plasma model
• Lyapunov instability of two-dimensional fluids: Hard dumbbells
• A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems
• Symmetry properties of orthogonal and covariant Lyapunov vectors and their exponents
• What Does Dynamical Systems Theory Teach Us about Fluids?
• Lyapunov Exponents
• Geometric numerical integration illustrated by the Störmer–Verlet method
• Motion in a stochastic layer described by symbolic dynamics
• Ergodic theory of chaos and strange attractors
• On the derivation of the one dimensional Vlasov equation
• Chaos in Dynamical Systems
• On the van der Waals Theory of the Vapor-Liquid Equilibrium. I. Discussion of a One-Dimensional Model
• An Introduction to Chaos in Nonequilibrium Statistical Mechanics
• Lyapunov exponent and criticality in the Hamiltonian mean field model