Journal
CHAOS SOLITONS & FRACTALS
Volume 11, Issue 8, Pages 1237-1246Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0960-0779(98)00334-8
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Controlling chaos in a nonlinear oscillator subjected to external and parametric excitations having incommensurate frequencies is discussed. An averaging method is first applied to reduce the original quasi-periodically driven system to a periodically driven one. The Melnikov method is applied on the reduced periodically driven system and the Melnikov function is subsequently established. The possibility of achieving a suitable system for the control of chaos in the averaged system by introducing a third harmonic parametric component into the cubic term of the original one is investigated. (C) 2000 Elsevier Science Ltd. All rights reserved.
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