The Supression of Chaos in Periodically Forced Oscillators View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

1990

AUTHORS

Steven W. Shaw

ABSTRACT

A method for suppressing chaos in a class of periodically forced oscillators is presented. The method involves the manipulation of higher harmonics in the periodic excitation such that the homoclinic tangles which lie at the heart of the chaos are destroyed. The procedure is demonstrated via a particular example: an inverted pendulum with amplitude constraints subjected to periodic base excitation. The general theory is developed using a Melnikov type method (see [1–3] and is supported by some experimental evidence. More... »

PAGES

289-296

Book

TITLE

Nonlinear Dynamics in Engineering Systems

ISBN

978-3-642-83580-3
978-3-642-83578-0

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-642-83578-0_36

DOI

http://dx.doi.org/10.1007/978-3-642-83578-0_36

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1043911560


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