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

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Yesiltas Ö.

PHYSICA SCRIPTA, cilt.80, sa.5, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 80 Sayı: 5
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1088/0031-8949/80/05/055003
  • Dergi Adı: PHYSICA SCRIPTA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Gazi Üniversitesi Adresli: Evet

Özet

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.