PASSIVE SCALARS AND 3-DIMENSIONAL LIOUVILLIAN MAPS

被引：20

作者：

CARTWRIGHT, JHE ^{[1
]}

FEINGOLD, M ^{[1
]}

PIRO, O ^{[1
]}

机构：

[1] BEN GURION UNIV NEGEV,DEPT PHYS,IL-84105 BEER SHEVA,ISRAEL

来源：

PHYSICA D | 1994年 / 76卷 / 1-3期

关键词：

D O I：

10.1016/0167-2789(94)90247-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Global aspects of the motion of passive scalars in time-dependent incompressible fluid flows are well described by volume-preserving (Liouvillian) three-dimensional maps. In this paper the possible invariant structures in Liouvillian maps and the two most interesting nearly-integrable cases are investigated. In addition, the fundamental role of invariant lines in organizing the dynamics of this type of system is exposed. Bifurcations involving the destruction of some invariant lines and tubes and the creation of new ones are described in detail.

引用

页码：22 / 33

页数：12

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