Although chaotic flows with special properties in their equilibria have been investigated widely, such an effort about chaotic maps has been neglected. In this note, we introduce a dynamical map with an infinite number of equilibrium points. Such a system doesn’t exist in the literature. A complete dynamical analysis is done on this new map which reveals its rich potential in showing chaos and multi-stability.

中文翻译：

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有界域中具有无限个平衡点的混沌映射

尽管已经广泛研究了在其平衡中具有特殊性质的混沌流，但是对于混沌映射的这种努力却被忽略了。在本说明中，我们介绍了具有无限数量的平衡点的动力学映射。这样的系统在文献中不存在。在此新地图上进行了完整的动力学分析，揭示了其在显示混乱和多重稳定性方面的巨大潜力。