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Factorization and Lie point symmetries of general Lienard-type equation in the complex plane

Özlem Yeşiltaş 2009 Phys. Scr. 80 055003 (4pp)   doi: 10.1088/0031-8949/80/05/055003  Help

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Özlem Yeşiltaş1,2
1 Department of Mathematics and Statistics, Concordia University 1455 de Maisonneuve Boulevard West, Montreal, Quebec, H3G 1M8, Canada
2 Department of Physics, Faculty of Arts and Sciences, Gazi University, 06500 Ankara, Turkey
E-mail: yesiltas@gazi.edu.tr

Abstract. We present a variational approach to a general Lienard-type equation in order to linearize it and, as an example, the Van der Pol oscillator is discussed. The new equation which is almost linear is factorized. The point symmetries of the deformed equation are also discussed and the two-dimensional Lie algebraic generators are obtained.

PACS number: 02.60.Lj

Print publication: Issue 5 (November 2009)
Received 6 June 2009, accepted for publication 2 October 2009
Published 4 November 2009

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