Chaotic Bursts and bifurcation in Chaotic Neural Networks with Ring Structure
Chaotic Bursts and bifurcation in Chaotic Neural Networks with Ring Structure
复制标题
环结构混沌神经网络中的混沌突发和分叉
DOI：
10.1142/s0218127401002894
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
H. Kawakami
中科院分区：
文献类型：
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作者：
H. Kitajima;T. Yoshinaga;K. Aihara;H. Kawakami
研究了一个具有环形结构的混沌神经网络模型中描述突发放电的不可逆映射。在生物神经系统中，每个神经元与许多其他神经元相互作用，因此考虑由非线性神经元组成的网络的全局动力学是很重要的，以便不仅阐明突发放电的出现机制，而且阐明其可能的功能作用。我们分析了参数区域中，可以观察到的突发射击，并表明，与突发射击的奇怪吸引子的动力学有关的生成的同宿的情况和消失的不变的封闭曲线的地图。
We investigate a noninvertible map describing burst firing in a chaotic neural network model with ring structure. Since each neuron interacts with many other neurons in biological neural systems, it is important to consider global dynamics of networks composed of nonlinear neurons in order to clarify not only mechanisms of emergence of the burst firing but also its possible functional roles. We analyze parameter regions in which burst firing can be observed, and show that dynamics of strange attractors with burst firing is related to the generation of a homoclinic-like situation and vanishing of an invariant closed curve of the map.