Design and circuit implementation of a kind of 4D four-wing chaotic system based on the odd function

A kind of four-dimensional (4D) four-wing chaotic system was proposed based on the odd function. The chaotic system can generate four wings on a certain plane by adjusting some parameters. Its basic dynamic behaviors including equilibria, dissipativity and Lyapunov exponents were analyzed by numerical simulation. The sensitivity of system parameters to the chaotic behavior was also studied. When the parameters vary, the phase diagram can present periodic orbits, chaos, and other states. An oscillation circuit was designed for the chaotic system, and MUTISIM observed results have a good consistency with numerical simulation.