This chapter presents three methods for transforming systems to generate grid multiscroll chaotic attractors: parallel transformations, mirror transformations, and rotation transformations. Additionally, an approach is introduced for constructing complex grid multiwing hyperchaotic attractorsHyperchaotic attractor based on 4-D hyperchaotic systemsHyperchaotic system. The effectiveness of these methods is demonstrated through their applications to various systems, including the Lorenz system and the Chen system, allowing for the generation of \(n\) -wing and \(n \times m\) -wing hyperchaotic attractors. Circuit designs and experimental results support the theoretical design and analysis, highlighting their practicality in engineering applications.

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Generating Grid Multiscroll and Multiwing Chaotic Attractors

  • Jinhu Lü,
  • Xin Chen,
  • Guanrong Chen

摘要

This chapter presents three methods for transforming systems to generate grid multiscroll chaotic attractors: parallel transformations, mirror transformations, and rotation transformations. Additionally, an approach is introduced for constructing complex grid multiwing hyperchaotic attractorsHyperchaotic attractor based on 4-D hyperchaotic systemsHyperchaotic system. The effectiveness of these methods is demonstrated through their applications to various systems, including the Lorenz system and the Chen system, allowing for the generation of \(n\) -wing and \(n \times m\) -wing hyperchaotic attractors. Circuit designs and experimental results support the theoretical design and analysis, highlighting their practicality in engineering applications.