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This chapter investigates the design and generation of multifold torus chaotic attractors using PWL systems. A general PWL function is constructed to extend the folded torus circuit, enabling the creation of multifold torus chaotic attractors with increased complexity. A systematic method for generating multi-directional multitorus (MDMT) chaotic attractors is developed, utilizing higher-dimensional PWL systems. Circuit-based implementations verify these theoretical designs, demonstrating their feasibility for practical applications. This study contributes to chaos theory by introducing new approaches for constructing intricate complex dynamical systems with potential engineering applications.

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Generating Multifold Torus Chaotic Attractors

  • 章节

  • 发表日期：

    2026年

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  • Jinhu Lü,
  • Xin Chen,
  • Guanrong Chen

摘要

This chapter investigates the design and generation of multifold torus chaotic attractors using PWL systems. A general PWL function is constructed to extend the folded torus circuit, enabling the creation of multifold torus chaotic attractors with increased complexity. A systematic method for generating multi-directional multitorus (MDMT) chaotic attractors is developed, utilizing higher-dimensional PWL systems. Circuit-based implementations verify these theoretical designs, demonstrating their feasibility for practical applications. This study contributes to chaos theory by introducing new approaches for constructing intricate complex dynamical systems with potential engineering applications.