Approximate solutions and chaotic motions of a piecewise nonlinear-linear oscillator

Ji, JC; Hansen, CH

Approximate solutions and chaotic motions of a piecewise nonlinear-linear oscillator

Ji, JC

Hansen, CH

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Publication Type:: Journal Article
Citation:: Chaos, Solitons and Fractals, 2004, 20 (5), pp. 1121 - 1133
Issue Date:: 2004-05-01

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Field	Value	Language
dc.contributor.author	Ji, JC https://orcid.org/0000-0003-3280-5463	en_US
dc.contributor.author	Hansen, CH	en_US
dc.date.issued	2004-05-01	en_US
dc.identifier.citation	Chaos, Solitons and Fractals, 2004, 20 (5), pp. 1121 - 1133	en_US
dc.identifier.issn	0960-0779	en_US
dc.identifier.uri	http://hdl.handle.net/10453/14497
dc.description.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. © 2003 Elsevier Ltd. All rights reserved.	en_US
dc.relation.ispartof	Chaos, Solitons and Fractals	en_US
dc.relation.isbasedon	10.1016/j.chaos.2003.09.022	en_US
dc.subject.classification	Mathematical Physics	en_US
dc.title	Approximate solutions and chaotic motions of a piecewise nonlinear-linear oscillator	en_US
dc.type	Journal Article
utslib.citation.volume	5	en_US
utslib.citation.volume	20	en_US
utslib.for	0105 Mathematical Physics	en_US
utslib.for	01 Mathematical Sciences	en_US
utslib.for	08 Information and Computing Sciences	en_US
utslib.for	09 Engineering	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Mechanical and Mechatronic Engineering
utslib.copyright.status	closed_access
pubs.issue	5	en_US
pubs.publication-status	Published	en_US
pubs.volume	20	en_US

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. © 2003 Elsevier Ltd. All rights reserved.

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http://hdl.handle.net/10453/14497