CHAOS AND CURVATURE IN A QUARTIC HAMILTONIAN SYSTEM

被引：6
|
作者：
JOY, MP
SABIR, M
机构：
[1] Department of Physics, Cochin University of Science and Technology, Cochin
来源：
PRAMANA-JOURNAL OF PHYSICS | 1993年 / 40卷 / 01期
关键词：
CHAOS; RIEMANNIAN CURVATURE; LYAPUNOV EXPONENTS;
D O I：
10.1007/BF02898037
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Chaotic behaviour of a quartic oscillator system given by H = 1/2(p1(2)+p2(2)) + (1/12)(1 - alpha) (q1(4) + q2(4)) + 1/2q1(2)q2(2) is studied. Though the Riemannian curvature is positive the system is nonintegrable except when alpha = 0. Calculation of maximal Lyapunov exponents indicates a direct correlation between chaos and negative curvature of the potential boundary.
引用
收藏
页码：17 / 23
页数：7
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