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中文摘要：
运用动力系统理论中的拓扑马蹄技巧和计算机数值计算来研究双摆的混沌性。通过在某些能量面上构造适当的Poincare截面，并找出了该截面的Poincare映射的拓扑马蹄，从而证明了双摆系统具有无穷多不稳定周期解并且具有混沌性。
英文摘要：
The chaotic dynamics in a double pendulum system was studied by the technique of topological horseshoe and numerical computations. By mean of constructing a proper Poincar cross-section in an energy surface, we find a topological horseshoe in the corresponding Poincare map. It proves that this system has infinite unstable periodic obits and chaotic dynamics.
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A horseshoe in a cellular neural network of four-dimensional autonomous ordinary differential equati
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