Bifurcations of Fractional-order Diffusionless Lorenz System

@inproceedings{Sun2009BifurcationsOF,
  title={Bifurcations of Fractional-order Diffusionless Lorenz System},
  author={Kehui Sun and Julien Clinton Sprott},
  year={2009}
}
Using the predictor-corrector scheme, the fractional-order diffusionless Lorenz system is investigated numerically. The effective chaotic range of the fractional-order diffusionless system for variation of the single control parameter is determined. The route to chaos is by period-doubling bifurcation in this fractional-order system, and some typical bifurcations are observed, such as the flip bifurcation, the tangent bifurcation, an interior crisis bifurcation, and transient chaos. The results… CONTINUE READING

References

Publications referenced by this paper.
Showing 1-10 of 16 references

Fractional integrals and derivatives: theory and applications

  • S. G. Samko, A. A. Klibas, O. I. Marichev
  • Amsterdam; Gordan and Breach (1993) 134…
  • 2009
1 Excerpt

Chaos

  • Z. M. Ge, W. R. Jhuang
  • Solitons & Fractals 33, 270-289
  • 2007

Chaos 17

  • J. C. Sprott
  • 033124
  • 2007
2 Excerpts

J

  • L. J. Sheu, H. K. Chen
  • H. Chen & L. M. Tam, Chaos, Solitons & Fractals…
  • 2007
1 Excerpt

Anal

  • K. Diethelm, N. J. Ford, J. Math
  • Appl. 265(2), 229-248
  • 2002
3 Excerpts

Nonlinear Dyn

  • K. Diethelm, N. J. Ford, A. D. Freed
  • 29(1), 3-22
  • 2002

Applications of fractional calculus in physics; New Jersey: World

  • R. Hilfer
  • 2001
1 Excerpt

Electr

  • W. Ahmad, R. El-Khazali, A. El-Wakil
  • Lett. 37, 1110-1112
  • 2001
3 Excerpts

Electron

  • K. Diethelm
  • Trans. Numer. Anal. 5(1), 1-6
  • 1997
2 Excerpts

Similar Papers

Loading similar papers…