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机器的有限精度会导致它的混沌序列进入周期轨道,解决有限精度的短周期效应又会产生序列的平衡问题。文中提出了双叶映射,该映射通过对混沌序列的均值曲线的拟合,保证了在有限精度条件下进行变参数映射时序列的基本平衡,因此双叶映射容易产生平衡的混沌序列;理论分析与仿真结果表明,双叶数字混沌序列具有良好的平衡性和随机性,更高的保密性,等等,因此具有很高的参考价值和良好的应用前景。
The finite precision of the machine will cause its chaotic sequence to enter the periodic orbit, and solving the short-period effect of finite precision will lead to the problem of sequence balance. In this paper, the double-leaf map is proposed. By fitting the mean curve of the chaotic sequence, this map guarantees the basic balance of the sequence when the variable-parameter mapping is performed under the condition of finite precision. Therefore, the dual-leaf map can easily generate a balanced chaotic sequence. Simulation results show that the double-lobe digital chaotic sequence has good balance and randomness, higher confidentiality, and so on, so it has high reference value and good application prospect.