Placement of Lyapunov exponents in discrete-time dynamical systems
离散动力系统混沌化—–配置若干个Lyapunov指数

A new algorithm is proposed for the placement of Lyapunov exponents to make a deterministic discretetime dynamical system chaotic or hyperchaotic. The resultant controlled system with non-zero Lyapunov exponents is chaotic in the sense of Devaney, with at least one positive Lyapunov exponent being greater than a given positive constant. Besides, this algorithm can make two or more Lyapunov exponents positive, and two chaotised examples are given for the illustration. Simulation results show the effectiveness of this algorithm.