Analysis of a Quantized Chaotic System
Analysis of a Quantized Chaotic System
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量化混沌系统的分析
DOI：
10.1142/s0218127402005054
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发表时间：
2002
期刊：
影响因子：
--
通讯作者：
Y. Kawasaki
中科院分区：
文献类型：
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作者：
H. Torikai;Toshimichi Saito;Y. Kawasaki
研究了具有两个周期输入的尖峰振荡器的量化混沌动力学问题。当第一个输入被应用时，振荡器产生由脉冲位置映射控制的各种周期性和混沌脉冲序列。当第二个输入被加入时，振荡器产生限制在晶格上的脉冲位置，并且脉冲位置映射被量子化。然后振荡器产生一组超稳定周期脉冲序列（SSPTs）。振荡器具有多种共存的sspt，并根据初始状态条件产生其中一个sspt。为了表征sspt集合，我们从理论上阐述了sspt的数目和最小脉冲间隔。通过一个简单的测试电路，我们在实验室环境中验证了一些典型现象。
We consider quantized chaotic dynamics for a spiking oscillator with two periodic inputs. As the first input is applied, the oscillator generates various periodic and chaotic pulse-trains governed by a pulse position map. As the second input is added, the oscillator produces pulse positions restricted on a lattice, and the pulse position map is quantized. Then the oscillator generates a set of super-stable periodic pulse-trains (SSPTs). The oscillator has various coexisting SSPTs and generates one of them depending on the initial state condition. In order to characterize the set of SSPTs, we elucidate the number and the minimum pulse interval of the SSPTs theoretically. By presenting a simple test circuit, we then verify some typical phenomena in the laboratory environment.