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

Özlem Yeşiltaş1,2

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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

05.45.Xt Synchronization; coupled oscillators

02.10.Ud Linear algebra

02.30.Xx Calculus of variations

02.20.Sv Lie algebras of Lie groups

Subjects

Mathematical physics

Statistical physics and nonlinear systems

Dates

Issue 5 (November 2009)

Received 6 June 2009, accepted for publication 2 October 2009

Published 4 November 2009



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