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Scroll number and distribution control of attractor: system design and circuit realization

Wu Hua-Gan Liu Zhong Bao Bo-Cheng

Scroll number and distribution control of attractor: system design and circuit realization

Wu Hua-Gan, Liu Zhong, Bao Bo-Cheng
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  • Abstract views:  3758
  • PDF Downloads:  697
  • Cited By: 0
Publishing process
  • Received Date:  29 November 2010
  • Accepted Date:  13 December 2010
  • Published Online:  15 September 2011

Scroll number and distribution control of attractor: system design and circuit realization

  • 1. (1)Department of Electronic Engineering, Nanjing University of Science and Technology, Nanjing 210094, China; (2)School of Information Science and Engineering, Changzhou University, Changzhou 213164, China

Abstract: Through introducing two piecewise-linear functions into a three-dimensional linear system, a grid-scroll chaotic system with relatively simple algebraic of system structure is constructed. By deploying the zero points of the introduced saw-tooth function and modified saw-tooth function, the designs of the number and the distribution of the index-2 equilibrium points of the system are performed, and the controls of the scroll number and the scroll distribution of the chaotic attractor generated from the system are achieved. By using analog components such as operational amplifier, multiplier, etc., the saw-tooth function circuit, the modified saw-tooth function circuit and the three-dimensional linear system circuit are designed and the proposed grid-scroll chaotic system is implemented. The experimental results are in agreement with both theoretical analyses and numerical simulations, which verify the feasibility of the designs of the scroll number and scroll distribution of chaotic attractors.

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