Integrating Factors and First Integrals for Lienard Type and Frequency-Damped Oscillators

Yasar E.

MATHEMATICAL PROBLEMS IN ENGINEERING, cilt.2011, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2011
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1155/2011/916437
  • Dergi Adı: MATHEMATICAL PROBLEMS IN ENGINEERING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

We consider Lienard type and frequency-damped oscillator equations. Integrating factors and the associated first integrals are derived from the method to compute lambda-symmetries and the associated reduction algorithm. The knowledge of a lambda-symmetry of the equation permits the determination of an integrating factor or a first integral by means of coupled first-order linear systems of partial differential equations. We will compare our results with those gained by the other methods.