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Investigation of a generalized van der pol oscillator differential equation

✍ Scribed by W. Addo-Asah; H.C. Akpati; R.E. Mickens

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
253 KB
Volume
179
Category
Article
ISSN
0022-460X

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✦ Synopsis

The following non-linear differential equation arises in the modelling of stellar pulsation as a limit cycle phenomenon [1]:

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A three-dimensional system of di!erential equations that models an electronic oscillator is considered. The equations allow a variety of periodic orbits that originate from a degenerate Hopf bifurcation, which is analytically studied. Numerical results are presented that show the existence of saddle

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In this paper the chaotic behavior of Van der Pol-Mathieu-Duffing oscillator under different excitation functions is studied. Governing equation is solved analytically using a powerful kind of analytic technique for nonlinear problems, namely the 'homotopy analysis method', for the first time. Prese