English

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

Mathematical Physics 2015-05-14 v2 math.MP

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.

Keywords

Cite

@article{arxiv.0911.1138,
  title  = {Factorization and Lie point symmetries of general Lienard-type equation in the complex plane},
  author = {O Yesiltas},
  journal= {arXiv preprint arXiv:0911.1138},
  year   = {2015}
}