RIGOROUS BOUNDS ON THE FAST DYNAMO GROWTH-RATE INVOLVING TOPOLOGICAL-ENTROPY

被引：68

作者：

KLAPPER, I ^{[1
]}

YOUNG, LS ^{[1
]}

机构：

[1] UNIV CALIF LOS ANGELES,DEPT MATH,LOS ANGELES,CA 90024

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1995年 / 173卷 / 03期

关键词：

D O I：

10.1007/BF02101659

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The fast dynamo growth rate for a C-k+1 map or flow is bounded above by topological entropy plus a l/k correction. The proof uses techniques of random maps combined with a result of Yomdin relating curve growth to topological entropy. This upper bound implies the following anti-dynamo theorem: in C-infinity systems fast dynamo action is not possible without the presence of chaos. In addition topological entropy is used to construct a lower bound for the fast dynamo growth rate in the case R(m) = infinity.

引用

页码：623 / 646

页数：24

共 36 条

[1] TOPOLOGICAL ENTROPY [J].