Electronic circuit design and FPGA-based hardware implementation of a new multistable 4-D hyperchaotic four-leaf system.

We generate a new hyperchaotic four-leaf system by inserting a state feedback control to the 3-D Vaidyanathan-Rhif chaotic four-leaf system (Vaidyanathan and Rhif, 2017). The new hyperchaotic system developed in this work has three quadratic non-linearities and two positive Lyapunov exponents. Bifurcation analysis points coexisting bifurcations and multiple attractors for the new 4-D hyperchaotic four-leaf system. Next, we construct an electronic circuit model using MultiSim (Version 13.0) for implementing the new 4-D hyperchaotic four-leaf system. Embedded and non-embedded implementations of chaotic and hyperchaotic systems are vital to increase their usability in many engineering applications since those FPGA designs can be linked to the digital world surrounding us in a direct manner. An ARM-FPGA-based hardware implementation of the 4-D hyperchaotic four-leaf system is given in detail, showing a good agreement between numerical and experimental results.