瞬时混沌神经网络的混沌动力学 |
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引用本文: | 阮炯,赵维锐,刘荣颂. 瞬时混沌神经网络的混沌动力学[J]. 应用数学和力学, 2003, 24(8): 874-880 |
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作者姓名: | 阮炯 赵维锐 刘荣颂 |
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作者单位: | 复旦大学, 数学系, 非线性中心, 非线性模型与方法开放实验室, 上海 200433 |
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基金项目: | 国家自然科学基金资助项目(70271065) |
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摘 要: | 首先利用"不可分意味着混沌"从理论上证明了一维瞬时混沌神经网络在一定的条件下按Li-Yorke意义是混沌的;特别地,进一步推出了混沌神经网络按Li-Yorke意义是混沌的充分条件,而这将从理论上证明Aihara等人通过数值计算所得结论;最后,为说明前面的结论给出了一个例子及其数值计算的结果。
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关 键 词: | 混沌神经网络 混沌 不可分性 |
文章编号: | 1000-0887(2003)08-0874-07 |
收稿时间: | 2001-11-27 |
修稿时间: | 2001-11-27 |
Chaos in Transiently Chaotic Neural Networks |
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Affiliation: | Department of Mathematics, Research Center for Nonlinear Science and Laboratory of Mathematics for Nonlinear Science, Fudan University, Shanghai 200433, P. R. China |
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Abstract: | It was theoretically proved that one-dimensional transiently chaotic neural networks have chaotic structure in sense of Li-Yorke theorem with some given assumptions using that no division implies chaos.In particular,it is further derived sufficient conditions for the existence of chaos in sense of Li-Yorke theorem in chaotic neural network,which leads to the fact that Aihara has demonstrated by numerical method.Finally,an example and numerical simulation are shown to illustrate and reinforce the previous theory. |
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Keywords: | chaotic neural networks chaos no division |
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