This chapter explores advanced techniques for generating multiscroll chaotic attractors from some nonlinear dynamical systems. Various effective methods are introduced, including modifications to the modified Lorenz system, a chaotic system bridging the Lorenz and Chen systems, and a non-autonomous forced systems. Additionally, other generating methods are presented based on PWL van der Pol and Duffing systems, oscillatory potential wells and a thresholding mechanism. The chapter furthermore discusses innovative techniques for generating \(n \times m\) -grid chaotic attractors using arctangent function series. These methodologies for generating complex multiscroll attractors expand the application domain of chaos theory across engineering and technological fields.

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Generating Multiscroll Chaotic Attractors by Other Techniques

  • Jinhu Lü,
  • Xin Chen,
  • Guanrong Chen

摘要

This chapter explores advanced techniques for generating multiscroll chaotic attractors from some nonlinear dynamical systems. Various effective methods are introduced, including modifications to the modified Lorenz system, a chaotic system bridging the Lorenz and Chen systems, and a non-autonomous forced systems. Additionally, other generating methods are presented based on PWL van der Pol and Duffing systems, oscillatory potential wells and a thresholding mechanism. The chapter furthermore discusses innovative techniques for generating \(n \times m\) -grid chaotic attractors using arctangent function series. These methodologies for generating complex multiscroll attractors expand the application domain of chaos theory across engineering and technological fields.