A New Class of Three-Dimensional Maps with Hidden Chaotic Dynamics

作者：Jiang, Haibo^*; Liu, Yang; Wei, Zhouchao; Zhang, Liping

来源：International Journal of Bifurcation and Chaos, 2016, 26(12): 1650206.

DOI：10.1142/S0218127416502060

• Hidden dynamics
• three-dimensional maps
• fixed point
• stability

This paper studies a new class of three-dimensional maps in a Jerk-like structure with a special concern of their hidden chaotic dynamics. Our investigation focuses on the hidden chaotic attractors in three typical scenarios of fixed points, namely no fixed point, single fixed point, and two fixed points. A systematic computer search is performed to explore possible hidden chaotic attractors, and a number of examples of the proposed maps are used for demonstration. Numerical results show that the routes to hidden chaotic attractors are complex, and the basins of attraction for the hidden chaotic attractors could be tiny, so that using the standard computational procedure for localization is impossible.

• 出版日期2016-11
• 单位盐城师范学院; 中国地质大学（北京）