| 返回扩张不动点与瞬态混沌神经网络中的混沌研究 |
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| 引用本文： | 王立冬,王辉.返回扩张不动点与瞬态混沌神经网络中的混沌研究[J].大连民族学院学报,2013,15(5):512-515. |
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| 作者姓名： | 王立冬 王辉 |
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| 作者单位： | 1. 大连民族学院理学院,辽宁大连116605;大连理工大学数学科学学院,辽宁大连116024
2. 大连理工大学数学科学学院,辽宁大连,116024 |
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| 基金项目： | 国家自然科学基金项目，中央高校基本科研业务费专项资金资助项目 |
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| 摘 要： | 证明了返回扩张不动点可以生成分布混沌和ω-混沌。作为一个应用，证明了如果满足一定条件，一个瞬态混沌神经网络（TCNN）可以产生分布混沌和ω-混沌。
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| 关 键 词： | 返回扩张不动点 瞬态混沌神经网络 分布混沌 ω-混沌 |
Snap-back Repeller and Chaos in Transiently Chaotic Neural Network |
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| WANG Li-dong
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WANG Hui.Snap-back Repeller and Chaos in Transiently Chaotic Neural Network[J].Journal of Dalian Nationalities University,2013,15(5):512-515. |
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| Authors: | WANG Li-dong WANG Hui |
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| Institution: | 2 (1. School of Science, Dalian Nationalities University, Dalian Liaoning 116605, China; 2. School of Mathematical Sciences, Dalian University of Technology, Dalian Liaoning 116024, China) |
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| Abstract: | In this paper, we prove that a dynamical system with a snap - back repeller can gen- erate distributional chaos and co - chaos. As an application of this result, we investigate chaos in the transiently chaotic neural network （TCNN）, which is a useful system for combinatorial opti- mization, we show that if some conditions are satisfied, a transiently chaotic neural network （TCNN） can be distributional chaotic and -chaotic. |
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| Keywords: | snap- back repeller transiently chaotic neural network distributional chaos co -chaos |
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