A hyperchaotic memristor system with exponential and discontinuous memductance function

Most of the memristor chaotic and hyperchaotic oscillators discussed in the literatures use the cubic flux controlled memristor model. The drawback of this model is that in spite of knowing the terminal voltage polarity, one cannot easily determine whether the memductance increase or decrease. Hence we propose new memristor hyperchaotic oscillators derived using exponential memductance and discontinuous memductance functions. Dynamical analysis of the proposed oscillators are conducted using equilibrium points, stability of equilibrium, Eigen values and Lyapunov exponents. Bifurcation plots are derived to understand the parameter dependence of the proposed oscillators. Multistability and coexisting attractors are exhibited by these memristor oscillators.