Generating 3-D multi-scroll chaotic attractors: A hysteresis series switching method

  • Authors:

  • Jinhu Lü;Fengling Han;Xinghuo Yu;Guanrong Chen

  • Affiliations:

  • Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China;School of Electrical and Computer Engineering, Royal Melbourne Institute of Technology University, Melbourne VIC 3001, Australia;School of Electrical and Computer Engineering, Royal Melbourne Institute of Technology University, Melbourne VIC 3001, Australia;Department of Electronic Engineering, City University of Hong Kong, China

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2004

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Abstract

This paper introduces a systematic method-a hysteresis series switching approach-for generating multi-scroll chaotic attractors from a three-dimensional linear autonomous system, including 1-D n-scroll, 2-D nxm-grid scroll, and 3-D nxmxl-grid scroll chaotic attractors. The chaos generation mechanism is studied by analyzing the system trajectories and the hysteresis switching dynamics of the controlled chaotic systems are explored. Moreover, a two-dimensional Poincare return map is rigorously derived. This map and its maximum Lyapunov exponent are applied to verifying the chaotic behaviors of the generated 3-D multi-scroll chaotic attractors.