Zhou C T
Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, Beijing 100088, People's Republic of China.
Chaos. 2006 Mar;16(1):013109. doi: 10.1063/1.2150776.
We present an efficient approach to determine the control parameter of simple limiter controllers by using symbolic dynamics of one-dimensional unimodal maps. By applying addition- and subtraction-symbol rules for generating an admissible periodic sequence, we deal with the smallest base problem of the digital tent map. The proposed solution is useful for minimizing the configuration of digital circuit designs for a given target sequence. With the use of the limiter controller, we show that one-dimensional unimodal maps may be robustly employed to generate the maximum-length shift-register sequences. For an arbitrary long Sarkovskii sequence, the control parameters are analytically given.
我们提出了一种通过使用一维单峰映射的符号动力学来确定简单限幅控制器控制参数的有效方法。通过应用加法和减法符号规则来生成可允许的周期序列，我们处理了数字帐篷映射的最小基问题。所提出的解决方案对于最小化给定目标序列的数字电路设计配置很有用。通过使用限幅控制器，我们表明一维单峰映射可以稳健地用于生成最大长度移位寄存器序列。对于任意长的沙可夫斯基序列，解析地给出了控制参数。
