This paper proposes a new three-dimensional continuous autonomous chaotic system. Different from all other chaotic systems like Lorenz, Rössler, Chen, Lü systems and Lorenz system family, two quadratic terms co-exist in the third equation of this new chaotic system. Some basic dynamical properties such as Lyapunov exponents, Poincare mapping, continuous spectrum and chaotic behaviors of this new butterfly attractor are studied. For the system to be electronically implemented, three different kinds of image display have been investigated by means of the Matlab programme, Matlab’s Simulink model as well as the Multisim. Simulation results show that they are consistent with the corresponding numerical simulation results of system equations.

new chaotic attractor, Lyapunov exponents, Poincare mapping, Multisim.