Abstract
In this paper, several smooth canonical 3-D
continuous autonomous systems are proposed in terms
of the coefficients of nonlinear terms. These systems
are derived from the existing 3-D four-wing smooth
continuous autonomous chaotic systems. These new
systems are the simplest chaotic attractor systems
which can exhibit four wings. They have the basic
structure of the existing 3-D four-wing systems, which
means they can be extended to the existing 3-D fourwing
chaotic systems by adding some linear and/or
quadratic terms. Two of these systems are analyzed.
Although the two systems are similar to each other in
structure, they are different in dynamics. One is sensitive
to the initializations and sampling time, but another is not, which is shown by comparing Lyapunov
exponents, bifurcation diagrams, and Poincaré maps.