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

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dc.contributor.author Ji, J
dc.contributor.author Hansen, CH
dc.date.accessioned 2012-02-02T04:11:25Z
dc.date.issued 2004-01
dc.identifier.citation Chaos, Solitons & Fractals, 2004, 20 (5), pp. 1121 - 1133
dc.identifier.issn 0960-0779
dc.identifier.other C1UNSUBMIT 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.
dc.format Scott McWhirter
dc.publisher Elsevier
dc.relation.isbasedon 10.1016/j.chaos.2003.09.022
dc.title Approximate solutions and chaotic motions of a piecewise nonlinear-linear oscillator
dc.type Journal Article
dc.description.version Published
dc.parent Chaos, Solitons & Fractals
dc.journal.volume 5
dc.journal.volume 20
dc.journal.number 5 en_US
dc.publocation The Netherlands en_US
dc.identifier.startpage 1121 en_US
dc.identifier.endpage 1133 en_US
dc.cauo.name FEIT.School of Elec, Mech and Mechatronic Systems en_US
dc.conference Verified OK en_US
dc.for 0105 Mathematical Physics
dc.personcode 997749
dc.percentage 100 en_US
dc.classification.name Mathematical Physics en_US
dc.classification.type FOR-08 en_US
dc.edition en_US
dc.custom en_US
dc.date.activity en_US
dc.location.activity en_US
dc.description.keywords IMPACT OSCILLATOR
dc.description.keywords BIFURCATIONS
dc.description.keywords FRICTION
dc.description.keywords DYNAMICS
dc.description.keywords SYSTEMS
pubs.embargo.period Not known
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 Elec, Mech and Mechatronic Systems
utslib.copyright.status Closed Access
utslib.copyright.date 2015-04-15 12:17:09.805752+10
pubs.consider-herdc false
utslib.collection.history Closed (ID: 3)


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