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首页> 外文期刊>Nonlinear dynamics, psychology and life sciences >Chaotic Dynamics in Simple Neuronal Systems: Theory and Applications
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Chaotic Dynamics in Simple Neuronal Systems: Theory and Applications

机译：简单神经元系统中的混沌动力学：理论与应用

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摘要

The ubiquitous feature of the nervous system of wide spread occurrence of complex dynamics behaviour is treated. The cardinal question concerning the nature of generators of such complex behaviour, namely if it is ad hoc random or deterministic but strongly nonlinear, is analyzed. It is proved analytically that the discrete dynamics of single neurons with the sigmoidal transfer function is potentially chaotic. As the by-product the functional gain-threshold mechanism in neurons is derived. This allows for the new interpretations of famous experiments by Miyashita on squirell monkeys. Then it is shown that the continuous dynamics of the neural circuits of two-three neurons are endowed with the potentiality of chaotic firing, too. Finally, it will be argued that the classical dogma of stochastic or the ad hoc random neural coding can be taken as the limiting case of presenting new approach of deterministic or chaotic paradigm.
机译：处理复杂动力学行为的广泛发生的神经系统的普遍特征得到了治疗。分析了有关这种复杂行为生成器性质的基本问题，即它是临时随机的还是确定性的，但具有很强的非线性。分析证明，具有S形传递函数的单个神经元的离散动力学可能是混沌的。作为副产物，推导了神经元中的功能增益阈值机制。这使得宫下对松鼠的著名实验有了新的解释。然后表明，两三个神经元的神经回路的连续动力学也具有混沌激发的潜力。最后，有人认为经典的随机或随机神经编码教条可以作为提出确定性或混沌范式新方法的极限情况。

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