  This paper presents a new chaotic system having four attractors, including
two fixed point attractors and two symmetrical chaotic strange attractors.
Dynamical properties of the system, viz. sensitive dependence on initial
conditions, Lyapunov spectrum, strangeness measure, attraction basin, including
the class and size of it, existence of strange attractor, bifurcation analysis,
multistability, electronic circuit design, and hardware implementation, are
rigorously treated. Numerical computations are used to compute the basin of
attraction and show that the system has a far-reaching composite basin of
attraction. Such a basin of attraction is vital for engineering applications.
Moreover, a circuit model of the system is realized using analog electronic
components. A procedure is detailed for converting the system parameters into
corresponding electronic component values such as the circuital resistances
while ensuring the dynamic ranges are bounded. Besides, the system is used as
the source of control inputs for independent navigation of a differential drive
mobile robot, which is subject to the Pfaffian velocity constraint. Due to the
properties of sensitivity on initial conditions and topological mixing, the
robot's path becomes unpredictable and guaranteed to scan the workspace,
respectively.
