Dynamic analysis of a chaotic system

A three-dimensional (3D) autonomous chaotic system is reported in this paper. Some basic properties are analyzed carefully by means of phase portraits, bifurcation diagrams, Lyapunov exponent spectrums and equilibrium points. The remarkable particularity of the system is that it possesses the dynamical properties as constant Lyapunov exponent spectrum and adjustable signal amplitude versus parameters b, d, and f. Further, based on the topological horseshoe theory, the horseshoe chaos in this system is investigated.