Analysis and circuitry realization of a novel three-dimensional chaotic system

In this paper a new three-dimensional chaotic system is introduced. Some basic dynamical properties are analyzed to show chaotic behavior of the presented system. These properties are covered by dissipation of system, instability of equilibria, strange attractor, Lyapunov exponents, fractal dimension and sensitivity to initial conditions. Through altering one of the system parameters, various dynamical behaviors are observed which included chaos, periodic and convergence to an equilibrium point. Eventually, an analog circuit is designed and implemented experimentally to realize the chaotic system.

► A new three dimensional chaotic system is presented.
► Some dynamical properties are analyzed to show the introduced system is chaotic.
► Various dynamic behaviors can be obtained by altering one of the system parameters.
► An analog circuit is designed and implemented to realize the chaotic system.