Analysis of a novel three-dimensional chaotic system

This paper proposes a novel three-dimensional (3D) autonomous chaotic system, which displays complicated dynamical behaviors. Basic dynamical properties are analyzed by means of phase portraits, Poincare mapping and equilibria. The different dynamic behaviors of the system are investigated especially when changing each system parameter. It is found that the Lyapunov exponent spectrums keep invariable when the parameters d, e and f vary; the signal amplitude can be adjusted by d, e and f; and the phase of signals x1 and x3 in the system can be controlled by parameter e. Finally, the amplitude modulation factor of this 3D chaotic system is studied carefully.