Memristive Nonlinear Electronic Circuits deals with nonlinear systems in the design and
implementation of circuits for generating complex dynamics. The brief proposes a new memristor
model using an inverse tangent function which achieves the characteristics of the memristor
and can be implemented easily because it corresponds to the bipolar transistor differential
pair. The authors design a new model-based memristive time-delay system by obtaining a
time-delay memristive differential equation which can generate an n-scroll chaotic attractor
by adjusting the proposed nonlinear function. These designs are carried out using OrCAD-PSpice.
The brief also presents a new time-delay memristive circuit excited by a nonautonomous
staircase function which can generate grid chaotic attractors: new families of grids of
n×m-scrolls. For increasingly complex dynamics of the circuits the authors propose a new
five-dimensional autonomous system with two memristors. The dynamical characteristics are
investigated by phase portraits and bifurcation diagrams. The brief applies two synchronization
methods to the memristive circuits: PC synchronization and feedback control synchronization.
The authors consider synchronization as the idea underlying idea the applications in nonlinear
electronic circuits. Finally the double-memristor system is employed to give rise to a highly
secure dual-stage encryption technique.
