Leonid Shilnikov and mathematical theory of dynamical chaos
Sergey Gonchenko1 , Alexey Kazakov2 , Dmitry Turaev3,2 and Andrey L.Shilnikov4
1 Scientific and Educational Mathematical Center “Mathematics of Future Technologies”,Lobachevsky
State University of Nizhny Novgorod,23 Gagarina Ave., 603950 Nizhny Novgorod, Russia
2 National Research University Higher School of Economics, 25/12 Bolshaya Pecherskaya Ulitsa, 603155 Nizhny Novgorod, Russia
3 Imperial College, London, UK
4 Neuroscience Institute and Department of Mathematics and Statistics, Georgia State University,
100 Piedmont Ave., Atlanta, GA 30303, USA.
从概述 Shilnikov 在动力系统理论上的工作开始，随后描述了以下焦点问题：高维动力系统的全局分岔、Shilnikov 鞍焦点和螺旋混沌、同宿混沌、同宿切线、 同步的数学理论、洛伦兹吸引子、拟吸引子和伪双曲性。
原文：Leonid Shilnikov and mathematical theory of dynamical chaos
译文：Leonid Shilnikov 和动力学混沌的数学理论
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