A chaotic simple jerk system (SJS) that belongs to systems with self-excited and hidden attractors is introduced in this paper. The dynamics of the proposed SJS is analytically and numerically investigated. Interestingly, the influence of the time delay on the proposed chaotic SJS is studied. In addition, the physical existence of self-excited and hidden chaotic attractors found in the proposed SJS and in the time-delayed form of SJSs (TDSJSs) are verified by using Orcard-PSpice software. Finally, chaos synchronization of identical, unidirectional, coupled, proposed chaotic TDSJSs is also reported.

中文翻译：

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简单混沌急动系统及其时滞形式中的自激和隐藏吸引子：分析、电子实现和同步

本文介绍了一种属于具有自激和隐藏吸引子的系统的混沌简单加加速度系统（SJS）。对所提出的 SJS 的动力学进行了分析和数值研究。有趣的是，研究了时间延​​迟对提出的混沌 SJS 的影响。此外，使用 Orcard-PSpice 软件验证了在所提出的 SJS 和延迟形式的 SJS（TDSJS）中发现的自激和隐藏混沌吸引子的物理存在。最后，还报告了相同、单向、耦合、提议的混沌 TDSJS 的混沌同步。