Abstract
In this work, a two-dimensional discrete map model based on quantum game is introduced, and its dynamics are investigated. Moreover, the stability condition of Nash equilibrium is also analyzed. In addition, the synchronization control of discrete chaotic maps with uncertainties is studied, and a new dynamical compensation control (DCC) technique is presented by constructing a dynamical compensator. At a result, the influence of the uncertain term can be suppressed effectively. Compared with the previous synchronous control approaches, the proposed method avoids the complex derivation and amplification operation, because it does not use Lyapunov function, and the controller design is simple and the proposed scheme is well verified.
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