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

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

2009-11-05

arxiv.org/abs/0911.1138v2

Physica Scripta 80 (2009) 055003

Physics

Mathematical Physics

Scientific paper

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.

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