STABILIZING CHAOTIC VORTEX TRAJECTORIES - AN EXAMPLE OF HIGH-DIMENSIONAL CONTROL

Authors
PENTEK A KADTKE JB TOROCZKAI Z
Citation
A. Pentek et al., STABILIZING CHAOTIC VORTEX TRAJECTORIES - AN EXAMPLE OF HIGH-DIMENSIONAL CONTROL, Physics letters. A, 224(1-2), 1996, pp. 85-92
Citations number
24
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
224
Issue
1-2
Year of publication
1996
Pages
85 - 92
Database
ISI
SICI code
0375-9601(1996)224:1-2<85:SCVT-A>2.0.ZU;2-6
Abstract
A chaos control algorithm is developed to actively stabilize unstable periodic orbits of higher-dimensional systems. The method assumes know ledge of the model equations and a small number of experimentally acce ssible parameters. General conditions for controllability are discusse d. The algorithm is applied to the Hamiltonian problem of point vortic es inside a circular cylinder with applications to an experimental pla sma system.