A new jerk chaotic system with three nonlinearities is investigated in this work. By modifying a jerk chaotic system with two cubic nonlinearities obtained by Sprott (1997), we obtain a new jerk chaotic system with three nonlinearities (two cubic nonlinearities and a transcendental nonlinearity). Dynamics of the new chaotic system with three nonlinearities are analysed by means of phase portraits, Lyapunov exponents, Lyapunov dimension, bifurcation diagram and Poincaré map. Then an electronic circuit realization is shown to validate the chaotic behaviour of the new jerk chaotic system. Finally, the physical circuit experimental results of the jerk chaotic attractor show agreement with numerical simulations.
A New Jerk Chaotic System with Three Nonlinearities and Its Circuit Implementation
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