利用排斥吸引函数容易实现有界离散映射的特点, 提出了一类新的离散混沌映射, 并利用理论推导对其分岔机理进行了研究. 通过分岔图和Lyapunov指数谱清楚地展示了这个离散映射从有序到混沌的变化过程. 可以看到这个简单的排斥吸引函数也能够象著名的Logistic模型一样产生复杂的动力学行为.

In this paper, a class of new discrete-time chaotic mapping is provided based on the attraction-repulsion function, which can easily guarantee the boundedness of mappings. Basic properties of the new mapping are analyzed by means of bifurcation and Lyapunov exponential diagrams. It is shown that the discrete-time chaotic mapping produces complex dynamical behaviors as the famous Logistic model.