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Analysis and application of a novel three-dimensional energy-saving and emission-reduction dynamic evolution system

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  • Fang, Guochang
  • Tian, Lixin
  • Sun, Mei
  • Fu, Min

Abstract

A novel three-dimensional energy-saving and emission-reduction chaotic system is proposed, which has not yet been reported in present literature. The system is established in accordance with the complicated relationship between energy-saving and emission-reduction, carbon emissions and economic growth. The dynamic behavior of the system is analyzed by means of Lyapunov exponents and bifurcation diagrams. With undetermined coefficient method, expressions of homoclinic orbits of the system are obtained. The Šilnikov theorem guarantees that the system has Smale horseshoes and the horseshoes chaos. Artificial neural network (ANN) is used to identify the quantitative coefficients in the simulation models according to the statistical data of China, and an empirical study of the real system is carried out with the results in perfect agreement with actual situation. It is found that the sooner and more perfect energy-saving and emission-reduction is started, the easier and sooner the maximum of the carbon emissions will be achieved so as to reduce carbon emissions and energy intensity. Numerical simulations are presented to demonstrate the results.

Suggested Citation

  • Fang, Guochang & Tian, Lixin & Sun, Mei & Fu, Min, 2012. "Analysis and application of a novel three-dimensional energy-saving and emission-reduction dynamic evolution system," Energy, Elsevier, vol. 40(1), pages 291-299.
  • Handle: RePEc:eee:energy:v:40:y:2012:i:1:p:291-299
    DOI: 10.1016/j.energy.2012.01.071
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    2. 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.
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    6. Fang, Guochang & Tian, Lixin & Fu, Min & Sun, Mei & He, Yu & Lu, Longxi, 2018. "How to promote the development of energy-saving and emission-reduction with changing economic growth rate—A case study of China," Energy, Elsevier, vol. 143(C), pages 732-745.
    7. LiuWei Zhao & Charles Oduro Acheampong Otoo, 2019. "Stability and Complexity of a Novel Three-Dimensional Environmental Quality Dynamic Evolution System," Complexity, Hindawi, vol. 2019, pages 1-11, April.
    8. Fang, Guochang & Tian, Lixin & Fu, Min & Sun, Mei & Du, Ruijin & Lu, Longxi & He, Yu, 2017. "The effect of energy construction adjustment on the dynamical evolution of energy-saving and emission-reduction system in China," Applied Energy, Elsevier, vol. 196(C), pages 180-189.
    9. Zhang, Wenbin & Tian, Lixin & Wang, Minggang & Zhen, Zaili & Fang, Guochang, 2016. "The evolution model of electricity market on the stable development in China and its dynamic analysis," Energy, Elsevier, vol. 114(C), pages 344-359.
    10. Xinghua Fan & Xuxia Li & Jiuli Yin, 2019. "Impact of environmental tax on green development: A nonlinear dynamical system analysis," PLOS ONE, Public Library of Science, vol. 14(9), pages 1-23, September.
    11. Wu, Zhibin & Xu, Jiuping, 2013. "Predicting and optimization of energy consumption using system dynamics-fuzzy multiple objective programming in world heritage areas," Energy, Elsevier, vol. 49(C), pages 19-31.
    12. Fang, Guochang & Tian, Lixin & Fu, Min & Sun, Mei & Du, Ruijin & Liu, Menghe, 2017. "Investigating carbon tax pilot in YRD urban agglomerations—Analysis of a novel ESER system with carbon tax constraints and its application," Applied Energy, Elsevier, vol. 194(C), pages 635-647.
    13. Fang, Guochang & Tian, Lixin & Liu, Menghe & Fu, Min & Sun, Mei, 2018. "How to optimize the development of carbon trading in China—Enlightenment from evolution rules of the EU carbon price," Applied Energy, Elsevier, vol. 211(C), pages 1039-1049.
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    17. Sinha, Avik, 2016. "Trilateral association between SO2 / NO2 emission, inequality in energy intensity, and economic growth: A case of Indian cities," MPRA Paper 100010, University Library of Munich, Germany.

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