Return Map Quantization from an Integrate-and-Fire Model with Two Periodic Inputs
Return Map Quantization from an Integrate-and-Fire Model with Two Periodic Inputs
复制标题
从具有两个周期性输入的积分激发模型返回映射量化
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
T. Saito
中科院分区：
文献类型：
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作者：
H. Torikai;T. Saito
在这篇文章中，我们考虑了集成和火灾模型(ab.IFM)，具有两个周期输入。IFM输出由一维返回图控制的脉冲串。利用返回映射，阐明了输入和输出之间的关系：第一个输入决定了返回映射的全局形状，IFM输出各种周期和混沌脉冲串；第二个输入量化了返回映射的状态，IFM输出各种周期脉冲串。利用计算机辅助分析方法，可以对量化的回归图进行严格的分析。在实验室中也证实了一些典型的现象。关键词：积火模型、回归映射、混沌、量化、计算机辅助分析
In this paper, we consider the Integrate-andFire Model (ab. IFM) with two periodic inputs. The IFM outputs a pulse-train which is governed by a one dimensional return map. Using the return map, the relationship between the inputs and the output is clarified: the first input determines the global shape of the return map and the IFM outputs various periodic and chaotic pulse-trains; the second input quantizes the state of the return map and the IFM outputs various periodic pulse-trains. Using a computer aided analysis method, the quantized return map can be analyzed rigorously. Also, some typical phenomena are confirmed in the laboratory. key words: Integrate-and-Fire Model, return map, chaos, quantization, computer aided analysis