The parameter space boundary for escape and chaos in the Duffing twin-well oscillator : a thesis presented in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Physics at Massey University

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dc.contributor.authorReid, Christopher I.
dc.date.accessioned2011-05-18T03:31:37Z
dc.date.available2011-05-18T03:31:37Z
dc.date.issued1999
dc.description.abstractThe Duffing 'twin-well' oscillator is investigated both experimentally and theoretically. The construction of a physical, nonlinear air-track oscillator with an ultrasound position detection system permits observation of a wide range of oscillatory behaviours, including chaotic motion, on a human scale (amplitudes of ~metre). Phase space and Poincare sections are constructed in real time and, in the case of chaos, Lyapunov exponents determined. The range of control space conditions which give rise to chaos is investigated. In particular, the boundaries between chaotic and periodic motion are measured experimentally. An analytic description of the primary boundaries of interest is constructed via a harmonic-balance generated solution to the governing differential equation and a perturbation style stability analysis. Successful theoretical prediction of the chaos boundary is achieved without recourse to numerical methods.en_US
dc.identifier.urihttp://hdl.handle.net/10179/2361
dc.language.isoenen_US
dc.publisherMassey Universityen_US
dc.rightsThe Authoren_US
dc.subjectOscillationsen_US
dc.subjectDuffing equationsen_US
dc.subjectChaotic behaviour in systemsen_US
dc.subjectDuffing twin-well oscillatoren_US
dc.titleThe parameter space boundary for escape and chaos in the Duffing twin-well oscillator : a thesis presented in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Physics at Massey Universityen_US
dc.typeThesisen_US
massey.contributor.authorReid, Christopher I.
thesis.degree.disciplinePhysics
thesis.degree.grantorMassey University
thesis.degree.levelDoctoral
thesis.degree.levelDoctoralen
thesis.degree.nameDoctor of Philosophy (Ph.D.)
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