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Application of extended Prelle–Singer procedure to the generalized modified Emden type equation

Author

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  • Chandrasekar, V.K.
  • Pandey, S.N.
  • Senthilvelan, M.
  • Lakshmanan, M.

Abstract

In this paper we investigate the integrability and linearization of a generalized modified Emden type equation. We derive integrating factors and integrals of motion for this equation through the extended Prelle–Singer (PS) procedure and obtain the general solution. We deduce linearizing transformations by using a new procedure. We also report general solutions for two special cases, which cannot be obtained from the general case.

Suggested Citation

  • Chandrasekar, V.K. & Pandey, S.N. & Senthilvelan, M. & Lakshmanan, M., 2005. "Application of extended Prelle–Singer procedure to the generalized modified Emden type equation," Chaos, Solitons & Fractals, Elsevier, vol. 26(5), pages 1399-1406.
    • Handle: RePEc:eee:chsofr:v:26:y:2005:i:5:p:1399-1406
    DOI: 10.1016/j.chaos.2005.03.024
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    Cited by:

    1. Tsai, Hsun-Heng & Fuh, Chyun-Chau, 2007. "Combining dither smoothing technique and state feedback linearization to control undifferentiable chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 886-895.
    2. Giné, Jaume, 2007. "On some open problems in planar differential systems and Hilbert’s 16th problem," Chaos, Solitons & Fractals, Elsevier, vol. 31(5), pages 1118-1134.

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