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This chapter introduces some methods for designing chaotic systems with multidirectional multiscroll chaotic attractors using basic circuits such as step circuits, hysteresis circuits and saturated circuits. These circuits are used in appropriate combinations to create 1-D, 2-D, and 3-D chaotic attractors with scalable complexity. Designs are verified through numerical simulations and experimental circuit implementation. Applications include the generation of \(n\) -scroll chaotic attractors and grid-scroll chaotic attractors in multidimensional systems. These findings provide significant advancements in chaos theory and offer practical tools for applications in secure communications, nonlinear control and complex system modeling.

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Generating Multidirectional Multiscroll Chaotic Attractors

  • 章节

  • 发表日期：

    2026年

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  • Jinhu Lü,
  • Xin Chen,
  • Guanrong Chen

摘要

This chapter introduces some methods for designing chaotic systems with multidirectional multiscroll chaotic attractors using basic circuits such as step circuits, hysteresis circuits and saturated circuits. These circuits are used in appropriate combinations to create 1-D, 2-D, and 3-D chaotic attractors with scalable complexity. Designs are verified through numerical simulations and experimental circuit implementation. Applications include the generation of \(n\) -scroll chaotic attractors and grid-scroll chaotic attractors in multidimensional systems. These findings provide significant advancements in chaos theory and offer practical tools for applications in secure communications, nonlinear control and complex system modeling.