Dynamics of a simplified Lorenz system
KEHUI SUN*
School of Physics Science and
Technology,
Central South University,
Changsha
410083 China
J. C. Sprott†
Department of Physics,
University of Wisconsin-Madison,
Madison, WI 53706 USA
ABSTRACT
A simplified Lorenz system with one
bifurcation parameter is investigated by detailed theoretical
analysis
as well as dynamic simulation, including some basic dynamical
properties, Lyapunov exponent spectra, fractal dimension,
bifurcations,
and routes to chaos. The results show that this system has
complex
dynamics with interesting characteristics.