A Chaotic System with Constant Lyapunov Exponent Spectrum and its Evolvement

A chaotic system with constant Lyapunov exponent spectrum is reviewed and its evolvement is investigated. The remarkable particularity of the system is that there exists a constant controller in this system, which can adjust the amplitude of state variables linearly, however, the Lyapunov exponent spectrum of the system is independent and kept on constant. After some basic dynamical properties of this new attractor are proposed, the flow evolvement of the system by adding linear and constant term or changing nonlinear absolute term are studied, and then general conclusions of the chaotic system which only contains nonlinear absolute terms can be achieved.