A new 4D chaotic system with infinitely many equilibria is proposed using a linear state feedback controller in the Sprott C system. Although the new 4D chaotic system has only two nonlinear terms, it has rich dynamic characteristics, such as hidden attractors and coexisting attractors. Besides, the freedom of offset boosting of a variable is achieved by adjusting a controlled constant. The dynamic characteristics of the new chaotic system are fully analyzed from the aspects of phase portraits, bifurcation diagrams, Lyapunov exponents and Poincaré maps. The corresponding analogue electronic circuit is designed and implemented to verify the new 4D chaotic system. By taking advantage of the complex dynamic properties of the new chaotic system, a random number generator algorithm is proposed.

中文翻译：

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具有共存隐藏混沌吸引子的新 4D 混沌系统

在Sprott C系统中使用线性状态反馈控制器提出了一种具有无限多平衡的新4D混沌系统。虽然新的 4D 混沌系统只有两个非线性项，但它具有丰富的动态特性，如隐藏吸引子和共存吸引子。此外，通过调整受控常数来实现变量的偏移提升的自由度。从相图、分岔图、李雅普诺夫指数和庞加莱图等方面充分分析了新混沌系统的动力学特征。设计并实现了相应的模拟电子电路来验证新的4D混沌系统。利用新混沌系统的复杂动态特性，提出了一种随机数生成算法。