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Type: Journal article
Title: Approximate solutions and chaotic motions of a piecewise nonlinear-linear oscillator
Author: Ji, J.
Hansen, C.
Citation: Chaos Solitons & Fractals, 2004; 20(5):1121-1133
Publisher: Pergamon-Elsevier Science Ltd
Issue Date: 2004
ISSN: 0960-0779
Abstract: A global symmetric period-1 approximate solution is analytically constructed for the non-resonant periodic response of a periodically excited piecewise nonlinear–linear oscillator. The approximate solutions are found to be in good agreement with the exact solutions that are obtained from the numerical integration of the original equations. In addition, the dynamic behaviour of the oscillator is numerically investigated with the help of bifurcation diagrams, Lyapunov exponents, Poincare maps, phase portraits and basins of attraction. The existence of subharmonic and chaotic motions and the coexistence of four attractors are observed for some combinations of the system parameters.
RMID: 0020040035
DOI: 10.1016/j.chaos.2003.09.022
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Appears in Collections:Mechanical Engineering publications
Environment Institute publications

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