Theses and Dissertations - UTB/UTPA
Date of Award
Master of Science (MS)
Dr. Zhaosheng Feng
Dr. Barnabas Bede
Dr. Paul Bracken
The nonlinear Duffing-van der Pol oscillator system is studied by means of the Lie symmetry reduction method and the Preller-Singer method. With the particular case of coefficients, this system has physical relevance as a simple model in certain flow-induced structural vibration problems. Under certain parametric conditions, we are concerned with the first integrals of the Duffing-van der Pol oscillator system. After making a series of variable transformations, we apply the Preller-Singer method and the Lie symmetry reduction method to obtain the first integrals of the simplified equations without complicated calculations.
University of Texas-Pan American
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