Introducing a Novel Three-Dimensional Chaotic System and its Circuitry Realization

In this paper a novel three-dimensional chaotic system is introduced. Some basic dynamical properties are studied in order to show the existence of chaos in the presented system. These properties are covered by dissipation of system, instability of equilibria, strange attractor, Lyapunov exponents, fractal dimension, Poincaré mapping and sensitivity of time responses to initial condition. Through altering one of the system parameters, various dynamical characteristics are observed such as chaos, limit cycle (periodic), convergence to an equilibrium point. Finally, a novel circuit is designed and implemented to realize it.