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This chapter explores advanced methods for generating multiscroll chaotic attractors using switching controls. Control strategies, including piecewise linear switching and step-series switching, are introduced, enabling the generation of \(n\) -scroll attractors from linear autonomous systems. These approaches are then extended to creating compound chaotic attractors by combining multiple Lorenz-like systems. Practical implementations, such as circuit-based realizations, verify the theoretical frameworks and demonstrate their versatility in generating multiscroll chaotic attractors and various complex dynamical behaviors.

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Generating Multiscroll Chaotic Attractors with Switching Controls

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  • 发表日期：

    2026年

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  • Jinhu Lü,
  • Xin Chen,
  • Guanrong Chen

摘要

This chapter explores advanced methods for generating multiscroll chaotic attractors using switching controls. Control strategies, including piecewise linear switching and step-series switching, are introduced, enabling the generation of \(n\) -scroll attractors from linear autonomous systems. These approaches are then extended to creating compound chaotic attractors by combining multiple Lorenz-like systems. Practical implementations, such as circuit-based realizations, verify the theoretical frameworks and demonstrate their versatility in generating multiscroll chaotic attractors and various complex dynamical behaviors.