This chapter examines methods for generating multiscroll chaotic attractors from nonautonomous systems. Basic techniques include using a pulse-driven oscillator based on Chua’s circuit and a multi-level logic pulse excitation scheme, which generate multi-double-scroll attractors without altering the original nonlinear functions. The task is performed using Chua’s circuit, a jerk circuit and a modified Lorenz system, highlighting the scalability and versatility of the methods. PSpice simulations verify and demonstrate these methods, confirming their effectiveness in circuit implementation. Additionally, a 4-D autonomous chaotic system is introduced, which can generate coexisting butterfly-like attractors. These findings enhance the understanding and design of nonautonomous chaotic systems towards engineering and scientific applications.

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Generating Multiscroll Chaotic Attractors from Nonautonomous Systems

  • Jinhu Lü,
  • Xin Chen,
  • Guanrong Chen

摘要

This chapter examines methods for generating multiscroll chaotic attractors from nonautonomous systems. Basic techniques include using a pulse-driven oscillator based on Chua’s circuit and a multi-level logic pulse excitation scheme, which generate multi-double-scroll attractors without altering the original nonlinear functions. The task is performed using Chua’s circuit, a jerk circuit and a modified Lorenz system, highlighting the scalability and versatility of the methods. PSpice simulations verify and demonstrate these methods, confirming their effectiveness in circuit implementation. Additionally, a 4-D autonomous chaotic system is introduced, which can generate coexisting butterfly-like attractors. These findings enhance the understanding and design of nonautonomous chaotic systems towards engineering and scientific applications.