Chaos has been successfully applied in many fields to improve the performance of engineering systems, such as communication, vibration compact, and mixing. Generating chaos from originally non-chaotic systems is a relevant topic because of potential applications. In this work, the impulse control is shown to generate chaos from non-chaotic system. Using non-chaotic Chen system as an example, we prove by analytical and numerical methods that chaos is indeed generated. The features of the chaos generated by impulse control are analysed using Lyapunov exponents, bifurcation diagram, power spectrum, Poincaré mapping and Kaplan-Yorke dimension. Furthermore, we demonstrate the chaotic attractor generation by impulse control using a circuit experiment. The last but not minor point is that the existence of topological horseshoe is given by rigorous computer-aided proof.

中文翻译：

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脉冲控制混沌生成：在非混沌系统和电路设计中的应用

混沌已成功应用于许多领域，以提高工程系统的性能，例如通信、振动压缩和混合。由于潜在的应用，从最初的非混沌系统生成混沌是一个相关的主题。在这项工作中，脉冲控制被证明可以从非混沌系统中产生混沌。以非混沌 Chen 系统为例，通过解析和数值方法证明混沌确实是产生的。利用李雅普诺夫指数、分岔图、功率谱、庞加莱映射和卡普兰-约克维数分析脉冲控制产生的混沌特征。此外，我们使用电路实验证明了脉冲控制产生的混沌吸引子。