CHAOTIC MOTIONS OF INVISCID POINT VORTICES AROUND RIGID OBSTACLES

被引：2

作者：

LUPINI, R ^{[1
]}

SIBONI, S ^{[1
]}

机构：

[1] UNIV BOLOGNA,DIPARTMENTO FIS,I-40126 BOLOGNA,ITALY

来源：

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS | 1991年 / 106卷 / 09期

关键词：

PACS 03.40.Gc Fluid dynamics: general mathematical aspects;

D O I：

10.1007/BF02728339

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The planar motion of N inviscid point vortices in the presence of a fixed rigid obstacle is described by an autonomous Hamiltonian set of differential equations. For circular and rectilinear boundary of the obstacle the two-vortex system is integrable. Numerical simulations suggest that the perturbation of the circular boundary into an ellypse causes homoclinic bifurcation in the restricted two-vortex system and transition to chaotic motion. This may be compared with the case of systems of free vortices (no obstacle) where chaotic motion first appears at N = 4.

引用

页码：957 / 962

页数：6

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