Publication: A numerical solution for Duffing-Van der Pol oscillators using a backward difference formulation
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Date
2018
Journal Title
Journal ISSN
Volume Title
Publisher
American Institute of Physics Inc.
Abstract
The study of chaotic motion in periodic self-excited oscillators are an area of interest in science and engineering. In the current research, a numerical solution in backward difference form is proposed for solving these chaotic motions in periodic- self excited oscillators. Study conducted in this article focuses on chaotic motions in the form of Duffing-Van Der Pol Oscillators. A backward difference formulation in predictor-corrector (PeCe) mode is introduced for solving these Duffing-Van Der Pol directly. Numerical simulations provided will show the accuracy of the PeCe backward difference formulation.
Description
Keywords
Backward difference, Duffing-Van Der Pol oscillators, ODEs