Multiple attractors and dynamic analysis of a no-equilibrium chaotic system

The hidden attractor holds attracting basin that does not intersect with any small neighborhoods of equilibrium. The attractors of chaotic systems with no-equilibrium, only stable equilibrium or a line of equilibrium belong to hidden attractors, and in which the Shilnikov method is not suitable to explain the chaos. This paper introduces a three-dimensional chaotic system with no equilibrium point. The fundamental dynamical properties as phase portrait, power spectral density, state trajectory, Lyapunov exponent, Kaplan-Yorke dimension and bifurcation are displayed and discussed, which show that the new system exhibits rich dynamics and can generate multiple attractors with different system parameters and initial values.