POTENTIALS ON THE 2-TORUS FOR WHICH THE HAMILTONIAN FLOW IS ERGODIC

被引：48

作者：

DONNAY, V

LIVERANI, C

机构：

[1] UNIV ARIZONA,DEPT MATH,TUCSON,AZ 85721

[2] UNIV ROME 2,DEPT MATH,ROME,ITALY

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1991年 / 135卷 / 02期

关键词：

D O I：

10.1007/BF02098044

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the motion of a test particle in a compound central potential field on a two-dimensional torus. We discuss three different classes of potentials (attracting, repelling, and mixed) that lead to Hamiltonian systems which have positive Lyapunov exponent almost everywhere and are ergodic. Included among the mixed potentials are smooth potentials without singularities.

引用

页码：267 / 302

页数：36

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