GAUSSIAN MODEL FOR CHAOTIC INSTABILITY OF HAMILTONIAN FLOWS

被引：98
|
作者：
CASETTI, L
LIVI, R
PETTINI, M
机构：
[1] UNIV BOLOGNA,DIPARTMENTO FIS,I-40126 BOLOGNA,ITALY
[2] OSSERV ASTROFIS ARCETRI,I-50125 FLORENCE,ITALY
[3] IST NAZL FIS NUCL,I-50125 FLORENCE,ITALY
[4] IST NAZL FIS NUCL,I-40126 BOLOGNA,ITALY
来源：
PHYSICAL REVIEW LETTERS | 1995年 / 74卷 / 03期
关键词：
D O I：
10.1103/PhysRevLett.74.375
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A general method to describe Hamiltonian chaos in the thermodynamic limit is presented which is based on a model equation independent of the dynamics. This equation is derived from a geometric approach to Hamiltonian chaos recently proposed, and provides an analytic estimate of the largest Lyapunov exponent λ. The particular case of the Fermi-Pasta-Ulam β-model Hamiltonian is considered, showing an excellent agreement between the values of λ predicted by the model and those obtained with computer simulations of the tangent dynamics. © 1995 The American Physical Society.
引用
收藏
页码：375 / 378
页数：4
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