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Suppressing chaos in the duffing oscillator by impulsive actions

✍ Scribed by G. Osipov; L. Glatz; H. Troger


Book ID
104363724
Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
553 KB
Volume
9
Category
Article
ISSN
0960-0779

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✦ Synopsis


The method of feedback impulsive suppression of chaos is introduced. Our approach is based on the similarity of return maps of some time continuous systems with one-dimensional cubic maps. The method is illustrated for the Dumng oscillator with positive linear stiffness by making use of its symmetry properties.


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A feasibility study has been carried out on a number of di!erent methods of controlling chaos in a Du$ng/Holmes oscillator. Four di!erent control strategies have been investigated via numerical integration of the governing equations. The same orbit has been successfully stabilised with three of the