The analysis to some point vortex problems using computers

Authors
Citation
T. Nakaki, The analysis to some point vortex problems using computers, NONLIN ANAL, 47(6), 2001, pp. 3849-3857
Citations number
9
Categorie Soggetti
Mathematics
Journal title
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN journal
0362546X → ACNP
Volume
47
Issue
6
Year of publication
2001
Part
6
Pages
3849 - 3857
Database
ISI
SICI code
0362-546X(200108)47:6<3849:TATSPV>2.0.ZU;2-D
Abstract
The motion of five point vortices is studied from numerical points of view. Under some initial configuration, the vortices exhibit periodic, quasi-per iodic or chaotic motion. In this paper we focus our attention on the period ic motion. The classification of the periodic motion is partly done by usin g computer simulations. Some mathematical results on the periodic motion ar e also shown.