On the First Single-Nonlinearity Seven-Term Memristor-Based Chaotic Snap System: A Line Equilibrium and Coexisting Hidden Attractors

A novel simple single-nonlinearity seven-term memristor-based chaotic snap system is proposed. The system exhibits a line equilibrium and coexisting hidden attractors, and is simpler than three existing memristor-based chaotic snap systems in the sense that it comprises (i) only seven algebraic terms and (ii) a single term of (intrinsic memristive) nonlinearity. In some regions of parameter space, a chaotic attractor coexists with a line equilibrium or with a limit cycle of different periods. Basin boundaries of limit cycles and chaotic attractors have an intricate fractal structure. In some other regions, two limit cycles are coexisting. The proposed simple chaotic snap system offers potential applications to e.g. chaos-based secure communications and control applications.