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A new four-dimensional energy resources system and its linear feedback control

Author

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  • Sun, Mei
  • Jia, Qiang
  • Tian, Lixin

Abstract

This paper reports a new four-dimensional energy resources chaotic system. The system is obtained by adding a new variable to a three-dimensional energy resource demand–supply system established for two regions of China. The dynamics behavior of the system will be analyzed by means of Lyapunov exponents and bifurcation diagrams. Linear feedback control methods are used to suppress chaos to unstable equilibrium or unstable periodic orbits. Numerical simulations are presented to show these results.

Suggested Citation

  • Sun, Mei & Jia, Qiang & Tian, Lixin, 2009. "A new four-dimensional energy resources system and its linear feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 101-108.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:1:p:101-108
    DOI: 10.1016/j.chaos.2007.01.125
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    References listed on IDEAS

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    1. Sun, Mei & Tian, Lixin & Fu, Ying, 2007. "An energy resources demand–supply system and its dynamical analysis," Chaos, Solitons & Fractals, Elsevier, vol. 32(1), pages 168-180.
    2. Sun, Mei & Tian, Lixin & Fu, Ying & Qian, Wei, 2007. "Dynamics and adaptive synchronization of the energy resource system," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 879-888.
    3. Sun, Mei & Tian, Lixin & Jiang, Shumin & Xu, Jun, 2007. "Feedback control and adaptive control of the energy resource chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1725-1734.
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    1. Sun, Mei & Tian, Lixin & Jia, Qiang, 2009. "Adaptive control and synchronization of a four-dimensional energy resources system with unknown parameters," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1943-1949.
    2. Zhu, Jianhua & Peng, Yan & Gong, Zhuping & Sun, Yanming & Lai, Chaoan & Wang, Qing & Zhu, Xiaojun & Gan, Zhongxue, 2019. "Dynamic analysis of SNG and PNG supply: The stability and robustness view #," Energy, Elsevier, vol. 185(C), pages 717-729.
    3. Kocamaz, Uğur Erkin & Cevher, Barış & Uyaroğlu, Yılmaz, 2017. "Control and synchronization of chaos with sliding mode control based on cubic reaching rule," Chaos, Solitons & Fractals, Elsevier, vol. 105(C), pages 92-98.

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