Integrating Factors and First Integrals for Lienard Type and Frequency-Damped Oscillators
MATHEMATICAL PROBLEMS IN ENGINEERING, cilt.2011, 2011 (SCI-Expanded, Scopus)
- 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.