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

被引：6
|
作者：
Miranda Filho, L. H. [1 ,2 ,3 ,4 ]
Amato, M. A. [4 ]
Elskens, Y. [1 ]
Rocha Filho, T. M. [3 ,4 ]
机构：
[1] Aix Marseille Univ, CNRS, Phys Interact Ion & Mol, UMR 7345, Campus St Jerome,Case 322,Av Esc Normandie Niemen, FR-13397 Marseille 20, France
[2] Univ Fed Rural Pernambuco, Dept Fis, Rua Manoel Medeiros S-N, BR-52171900 Recife, PE, Brazil
[3] Univ Brasilia, Inst Fis, CP 04455, BR-70919970 Brasilia, DF, Brazil
[4] Univ Brasilia, Int Ctr Condensed Matter Phys, CP 04455, BR-70919970 Brasilia, DF, Brazil
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2019年 / 74卷
关键词：
Chaos; Lyapunov exponents; Hamiltonian mean field; Kinetic space; Molecular dynamics; INSTABILITY; FLUIDS;
D O I：
10.1016/j.cnsns.2019.03.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We use the weight delta I, 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. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码：236 / 247
页数：12
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