A numerical solution for Duffing-Van der Pol oscillators using a backward difference formulation

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...

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Bibliographic Details
Main Authors: Hamzah, S.R (Author), Hussain A. (Author), Ijam, H.M (Author), Ishak, N. (Author), Lin C.K (Author), Nifa F.A.A (Author), Othman, K.I (Author), Rasedee, A.F.N (Author), Sathar, M.H.A (Author)
Format: Article
Language:English
Published: American Institute of Physics Inc. 2018
Subjects:
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020 |a 0094243X (ISSN); 9780735417342 (ISBN) 
245 1 0 |a A numerical solution for Duffing-Van der Pol oscillators using a backward difference formulation 
260 0 |b American Institute of Physics Inc.  |c 2018 
650 0 4 |a Backward difference 
650 0 4 |a Duffing-Van Der Pol oscillators 
650 0 4 |a ODEs 
856 |z View Fulltext in Publisher  |u https://doi.org/10.1063/1.5055522 
856 |z View in Scopus  |u https://www.scopus.com/inward/record.uri?eid=2-s2.0-85054515988&doi=10.1063%2f1.5055522&partnerID=40&md5=6fd9fc263886f6fe52e0bd546fb29a4c 
520 3 |a 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. © 2018 Author(s). 
700 1 0 |a Hamzah, S.R.  |e author 
700 1 0 |a Hussain A.  |e author 
700 1 0 |a Ijam, H.M.  |e author 
700 1 0 |a Ishak, N.  |e author 
700 1 0 |a Lin C.K.  |e author 
700 1 0 |a Nifa F.A.A.  |e author 
700 1 0 |a Othman, K.I.  |e author 
700 1 0 |a Rasedee, A.F.N.  |e author 
700 1 0 |a Sathar, M.H.A.  |e author