A simple time domain collocation method for solving the van der Pol oscillator

DOI

10.2991/icadme-15.2015.3How to use a DOI?

Keywords

Time domain collocation method; high dimensional harmonic balance method; period solution; van der Pol equation; limit cycle.

Abstract

In this paper, the time domain collocation method (TDC) is applied to solve the van der Pol equation. The results obtained by the TDC are compared with the results by the traditional harmonic balance method (HB) and high dimensional harmonic balance method (HDHB). For the extended TDC method, appropriately increasing the number of collocation points can significantly relive the nonphysical solution phenomenon and generate a better solution. Compared with the HDHB, the TDC method is derived more strictly, and more convenient to implement. Numerical results verify the simplicity, accuracy and efficiency of the present TDC method.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Fei Han
AU  - Ming Li
AU  - Shijie Zhang
PY  - 2015/10
DA  - 2015/10
TI  - A simple time domain collocation method for solving the van der Pol oscillator
BT  - Proceedings of the 5th International Conference on Advanced Design and Manufacturing Engineering
PB  - Atlantis Press
SP  - 9
EP  - 17
SN  - 2352-5401
UR  - https://doi.org/10.2991/icadme-15.2015.3
DO  - 10.2991/icadme-15.2015.3
ID  - Han2015/10
ER  -