Anticipating the dynamics of chaotic maps |
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| Institution: | 1. School of intelligent manufacturing, Panzhihua University, Panzhihua 617000, China;2. School of Electrical Engineering and Electronic Information, Xi''hua University, Chengdu 610039, China;1. School of Mechanical Engineering, University of Science & Technology Beijing, 30 College Road, Beijing 100083, People''s Republic of China;2. School of Mechanical Engineering, University of Science & Technology Inner Mongolia, Baotou, People''s Republic of China |
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| Abstract: | We study the regime of anticipated synchronization in unidirectionally coupled chaotic maps such that the slave map has its own output re-injected after a certain delay. For a class of simple maps, we give analytic conditions for the stability of the synchronized solution, and present results of numerical simulations of coupled 1D Bernoulli-like maps and 2D Baker maps, that agree well with the analytic predictions. |
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