Entrainment, Arnold tongues, and duality in a periodically driven integrate-and-fire model

机译：定期驱动的集成解雇模型中的引诱，阿诺德语和对偶

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We have studied an integrate-and-fire model neuron driven by a periodic sequence of Gaussian-shaped current pulses of width 1/2N and amplitude ε. For large N the current is a sequence of delta pulses and for smaller N it approaches a sine. When N is large, the firing rate f vs. ε curve is a staircase of entrainment steps yielding an Arnold tongue structure in the τ vs. ε plane. In the small N limit we find novel entrainment steps in the f vs. τ plane, without Arnold tongue structure. The steps in the two N regimes are related by a duality transformation. In the presence of noise in the pulse arrival times, the steps disappear above a critical noise value.

机译：我们研究了由宽度为1 / 2N和幅度为ε的高斯型电流脉冲的周期性序列驱动的积分和发射模型神经元。对于较大的N，电流是一系列脉冲脉冲，而对于较小的N，电流接近正弦。当N大时，点火速率f与ε的关系曲线是夹带阶梯的阶梯，在τ与ε的平面上产生Arnold舌头结构。在较小的N极限中，我们发现f与τ平面上有新颖的夹带步骤，没有Arnold舌头结构。两个N体制中的步骤通过对偶转换进行关联。在脉冲到达时间中存在噪声时，阶跃在临界噪声值以上消失。

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来源
《Computational Neuroscience Meeting (CNS'01) Jul, 2001 Monterey, California》|2001年|p.91-96|共6页
会议地点 Monterey CA(US);Monterey CA(US)
作者
Joaquin Escalona; Jorge V. Jose; Paul Tiesinga;
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作者单位

Fac. de Ciencias, UAEM, Cuernavaca 62210, Morelos, Mexico;

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会议组织
原文格式 PDF
正文语种 eng
中图分类生理学;
关键词
integrate-and-fire model; entrainment; arnold tongues; duality transformation;

机译：一体化射击模型引诱阿诺德方言对偶变换;

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1. Entrainment, Arnold tongues, and duality in a periodically driven integrate-and-fire model [J] . Joaquin Escalona, Jorge V. Jose, Paul Tiesinga Neurocomputing . 2002,第期

机译：定期驱动的集成解雇模型中的引诱，阿诺德语和对偶
2. Integrate-and-fire models of insolation-driven entrainment of broadcast spawning in corals [J] . Theoretical Ecology . 2011,第1期

机译：珊瑚驱动的广播产卵的日射驱动夹带的集成和发射模型
3. Integrate-and-fire models of insolation-driven entrainment of broadcast spawning in corals [J] . Bharath Ananthasubramaniam, Roger M. Nisbet, Daniel E. Morse, Theoretical Ecology . 2011,第1期

机译：珊瑚驱动的广播产卵的日射驱动夹带的集成和发射模型
4. Entrainment, Arnold tongues, and duality in a periodically driven integrate-and-fire model [C] . Joaquin Escalona, Jorge V. Jose, Paul Tiesinga Computational neuroscience meeting . 2002

机译：在定期驱动的整合和消防模型中夹带，阿诺德舌和二元性
5. Response dynamics of integrate-and-fire neuron models. [D] . Pressley, Joanna. 2008

机译：集成并发射神经元模型的响应动力学。
6. Fail-safe detection of threshold crossings of linear integrate-and-fire neuron models in time-driven simulations [O] . Susanne Kunkel, Moritz Helias, Markus Diesmann, 2011

机译：在时间驱动的仿真中线性积分-发射神经元模型的阈值穿越的故障安全检测
7. Integrate-and-fire models of insolation-driven entrainment of broadcast spawning in corals [O] . Bharath Ananthasubramaniam, Roger M. Nisbet, Daniel E. Morse, 2010

机译：珊瑚驱动的广播产卵的日射驱动夹带的集成和发射模型

Entrainment, Arnold tongues, and duality in a periodically driven integrate-and-fire model

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