Introduction and synchronization of a five-term chaotic system with an absolute-value term

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• 作者：Pyung Hun Chang (1) (2)
  Dongwon Kim (2)
  
• 关键词：Chaos ; Chaotic system ; Chaotic attractor ; Lyapunov exponent ; Five ; term chaotic attractor
• 刊名：Nonlinear Dynamics
• 出版年：2013
• 出版时间：2 - July 2013
• 年：2013
• 卷：73
• 期：1
• 页码：311-323
• 全文大小：1030KB
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• 作者单位：Pyung Hun Chang (1) (2)
  Dongwon Kim (2)
  
  1. Robotics Engineering Department, Daegu-Gyeongbuk Institute of Science and Technology, Daegu, 711-873, Republic of Korea
  2. Department of Mechanical Engineering, KAIST 373-1, Guseong-dong, Yuseong-gu, Deajeon, Republic of Korea
  

文摘

We propose a new chaotic system that consists of only five terms, including one multiplier and one quadratic term, and one absolute-value term. It is observed that the absolute-value term results in intensifying chaoticity and complexity. The characteristics of the proposed system are investigated by theoretical and numerical tools such as equilibria, stability, Lyapunov exponents, Kaplan–Yorke dimension, frequency spectrum, Poincaré maps, and bifurcation diagrams. The existence of homoclinic and heteroclinic orbits of the proposed system is also studied by a theoretical analysis. Furthermore, synchronization of this system is achieved with a simple technique proposed by Kim et?al. (Nonlinear Dyn., 2013, in press) for a practical application.