BIFURCATIONS AND CHAOS IN FRACTIONAL-ORDER SIMPLIFIED LORENZ
KEHUI SUN, XIA WANG
School of Physics Science and
Technology, Central South University,
Changsha 410083, P. R. China
Department of Physics,
Madison, WI 53706, USA
The dynamics of fractional-order
have attracted increasing attention in recent years. In this
numerically study the bifurcations and chaotic behavior in the
fractional-order simplified Lorenz system using the time-domain
Chaos does exist in this system for a wide range of
fractional orders, both less than and greater than three.
dynamics with interesting characteristics are presented by means
phase portraits, bifurcation diagrams, and Lyapunov exponents.
system parameter and the fractional order can be taken as
parameters, and the range of existing chaos is different for
parameters. The lowest order we found for this system to yield
Ref: K. Sun, X. Wang, and J. C.
Journal of Bifurcation and Chaos 20,
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