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

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  • Emrullah Yaşar

Abstract

We consider Liénard type and frequency-damped oscillator equations. Integrating factors and the associated first integrals are derived from the method to compute 𠜆 -symmetries and the associated reduction algorithm. The knowledge of a 𠜆 − 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.

Suggested Citation

  • Emrullah Yaşar, 2011. "Integrating Factors and First Integrals for Liénard Type and Frequency-Damped Oscillators," Mathematical Problems in Engineering, Hindawi, vol. 2011, pages 1-10, June.
    • Handle: RePEc:hin:jnlmpe:916437
    DOI: 10.1155/2011/916437
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