中文摘要：

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。

英文摘要：

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.