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

Autor: L.H. Miranda Filho, Yves Elskens, M. A. Amato, T. M. Rocha Filho
Přispěvatelé: Physique des interactions ioniques et moléculaires (PIIM), Aix Marseille Université (AMU)-Centre National de la Recherche Scientifique (CNRS), Instituto de Física [Brasilia], Universidade de Brasilia [Brasília] (UnB), International Center for Condensed Matter Physics Brasilia, Federal University of Pernambuco [Recife], CNPq (Brésil), CAPES (Brésil)
Rok vydání: 2019
Předmět:
Lyapunov function
chaos
FOS: Physical sciences
Lyapunov exponent
Kinetic energy
01 natural sciences
Many body
010305 fluids & plasmas
symbols.namesake
0103 physical sciences
Trigonometric functions
[PHYS.COND.CM-SM]Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech]
010306 general physics
Condensed Matter - Statistical Mechanics
Mathematics
Numerical Analysis
Statistical Mechanics (cond-mat.stat-mech)
Separatrix
Applied Mathematics
Mathematical analysis
Lyapunov exponents
molecular dynamics simulations
Nonlinear Sciences - Chaotic Dynamics
Nonlinear Sciences::Chaotic Dynamics
Mean field theory
Modeling and Simulation
[NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD]
symbols
Chaotic Dynamics (nlin.CD)
Hamiltonian (quantum mechanics)
Hamiltonian mean field
kinetic space
Zdroj: Communications in Nonlinear Science and Numerical Simulation
Communications in Nonlinear Science and Numerical Simulation, 2019, 74, pp.236-247. ⟨10.1016/j.cnsns.2019.03.011⟩
Communications in Nonlinear Science and Numerical Simulation, Elsevier, 2019, 74, pp.236-247. ⟨10.1016/j.cnsns.2019.03.011⟩
ISSN: 1007-5704
DOI: 10.1016/j.cnsns.2019.03.011
Popis: International audience; We use the weight δI, deduced from the estimation of Lyapunov vectors, in order to characterise regions in the kinetic (x, v) space with particles that most contribute to chaoticity. For the paradigmatic model, the cosine Hamiltonian mean field model, we show that this diagnostic highlights the vicinity of the separatrix, even when the latter hardly exists.
Databáze: OpenAIRE
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