Chaos Generation With Impulse Control: Application to Non-Chaotic Systems and Circuit Design

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 potential applications. In this work, impulse control shown generate system. Using Chen system an example, we prove by analytical numerical methods that indeed generated. The features generated are analysed using Lyapunov exponents, bifurcation diagram, power spectrum, Poincaré mapping Kaplan-Yorke dimension. Furthermore, demonstrate chaotic attractor generation circuit experiment. last but not minor point existence topological horseshoe given rigorous computer-aided proof.