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An energy resources demand–supply system and its dynamical analysis

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  • Sun, Mei
  • Tian, Lixin
  • Fu, Ying

Abstract

This paper establishes a new energy resources demand–supply system for two regions of China. The dynamics behavior of this system is also analyzed. Lyapunov exponents and homoclinic orbits of this system can be obtained. The energy resources demand–supply system is chaotic by analytically demonstration and Lyapunov exponents, which displays a two-layer attractor.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:32:y:2007:i:1:p:168-180
    DOI: 10.1016/j.chaos.2005.10.085
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    References listed on IDEAS

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    1. Chang, Yu & Chen, Guanrong, 2006. "Complex dynamics in Chen’s system," Chaos, Solitons & Fractals, Elsevier, vol. 27(1), pages 75-86.
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    Cited by:

    1. Li, Xiuchun & Xu, Wei & Li, Ruihong, 2009. "Chaos synchronization of the energy resource system," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 642-652.
    2. 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.
    3. Sabarathinam Srinivasan & Suresh Kumarasamy & Zacharias E. Andreadakis & Pedro G. Lind, 2023. "Artificial Intelligence and Mathematical Models of Power Grids Driven by Renewable Energy Sources: A Survey," Energies, MDPI, vol. 16(14), pages 1-56, July.
    4. 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.
    5. Ding, Yuting & Zheng, Liyuan, 2023. "Existence of homoclinic orbit of Shilnikov type and the application in Rössler system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 206(C), pages 770-779.
    6. Li, Hui & Wu, Zixuan & Yuan, Xing & Yang, Yixuan & He, Xiaoqiang & Duan, Huiming, 2022. "The research on modeling and application of dynamic grey forecasting model based on energy price-energy consumption-economic growth," Energy, Elsevier, vol. 257(C).

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