This paper introduces a new four-dimensional chaotic system with a unique unstable equilibrium and multiple coexisting attractors. The dynamic evolution analysis shows that the system concurrently generates two symmetric chaotic attractors for fixed parameter values. Based on this system, an effective method is established to construct an infinite number of coexisting chaotic attractors. It shows that the introduction of some non-linear functions with multiple zeros can increase the equilibria and inspire the generation of coexisting attractor of the system. Numerical simulations verify the availability of the method.

中文翻译：

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从新的四维混沌系统生成共存吸引子

本文介绍了一种具有独特不稳定平衡和多个共存吸引子的新型四维混沌系统。动态演化分析表明，对于固定参数值，系统同时产生了两个对称的混沌吸引子。基于该系统，建立了一种有效的方法来构造无限数量的共存混沌吸引子。这表明引入一些具有多个零的非线性函数可以增加系统的平衡并激发系统共存吸引子的产生。数值模拟验证了该方法的有效性。