Bifurcations of Fractional-order Diffusionless Lorenz System
Kehui Sun1,2 and J. C. Sprott2
1School of Physics
Science and Technology, Central South University, Changsha 410083 China
University of Wisconsin-Madison, Madison, WI 53706 USA
Received 5 July 2009, Accepted 15 August 2009, Published 30
Using the predictor-corrector
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
determined. The route to chaos is by period-doubling bifurcation
this fractional-order system, and some typical bifurcations are
observed, such as the flip bifurcation, the tangent bifurcation,
interior crisis bifurcation, and transient chaos. The results
the fractional-order diffusionless Lorenz system has complex
with interesting characteristics.
Ref: K. Sun and J. C. Sprott,
Electronic Journal of Theoretical Physics 6, 123-134 (2009)
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