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This chapter discusses the design and implementation of \( n \) -scroll chaotic attractors using piecewise linear (PWL) functions. It outlines some methods for generating \( n \) -scroll chaotic attractors, \( n \times m \) -scroll attractors, and grid multiwing butterfly attractors, building on extensions of Chua’s circuit and other simple nonlinear systems. The chapter also introduces some techniques, such as modifications of nonlinear functions, integration of memristors, and generalizations of basic circuits. To illustrate the feasibility and scalability of these designs for practical applications in mulitscroll attractors analysis, numerical simulations and circuit implementations are presented.

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Generating n-Scroll Chaotic Attractors with PWL Functions

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  • 发表日期：

    2026年

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  • Jinhu Lü,
  • Xin Chen,
  • Guanrong Chen

摘要

This chapter discusses the design and implementation of \( n \) -scroll chaotic attractors using piecewise linear (PWL) functions. It outlines some methods for generating \( n \) -scroll chaotic attractors, \( n \times m \) -scroll attractors, and grid multiwing butterfly attractors, building on extensions of Chua’s circuit and other simple nonlinear systems. The chapter also introduces some techniques, such as modifications of nonlinear functions, integration of memristors, and generalizations of basic circuits. To illustrate the feasibility and scalability of these designs for practical applications in mulitscroll attractors analysis, numerical simulations and circuit implementations are presented.