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Crisis-induced intermittency in Mexican dam flows

Author

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  • García-Rojas, Blanca E.
  • Ramirez-Dámaso, Gabriel
  • Caballero, Francisco
  • Femat, Ricardo

Abstract

Historical data from 4 different dams from Mexico have been analyzed in order to investigate on the nonlinear behavior. The dams are into 4 distinct hydrological basins, which are located at the north of Mexico where dry climate displays seasonal rain. The phase plane suggests the expanding and suddenly contractions of its orbits shows intermittency. The correlation dimension is derived by careful computing of two parameters: time delay and embedding dimensions. In addition, the scaling exponent is computed as well, which reinforces the appearance of intermittency. The computation of phase plane, correlation dimension, and scaling exponent allows us to find an underlying route to chaos from each of the dam time series. The Lyapunov exponents were employed in order to strengthen the conclusion about chaotic behavior. The results suggest that the intermittency (attributable to reliefs and reservoirs and their sudden effects) is the possible mechanisms to chaos at the nonlinear behavior of dam flows; however, stochastic nature deserves additional investigation.

Suggested Citation

  • García-Rojas, Blanca E. & Ramirez-Dámaso, Gabriel & Caballero, Francisco & Femat, Ricardo, 2022. "Crisis-induced intermittency in Mexican dam flows," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    • Handle: RePEc:eee:chsofr:v:156:y:2022:i:c:s0960077922000753
    DOI: 10.1016/j.chaos.2022.111864
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    References listed on IDEAS

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    1. Steven L. Brunton & Bingni W. Brunton & Joshua L. Proctor & Eurika Kaiser & J. Nathan Kutz, 2017. "Chaos as an intermittently forced linear system," Nature Communications, Nature, vol. 8(1), pages 1-9, December.
    2. Song, Zhijun & Jin, Wenxuan & Jiang, Guanghui & Li, Sichun & Ma, Wenqiu, 2021. "Typical and atypical multifractal systems of urban spaces—using construction land in Zhengzhou from 1988 to 2015 as an example," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    3. Baranowski, Piotr & Gos, Magdalena & Krzyszczak, Jaromir & Siwek, Krzysztof & Kieliszek, Adam & Tkaczyk, Przemysław, 2019. "Multifractality of meteorological time series for Poland on the base of MERRA-2 data," Chaos, Solitons & Fractals, Elsevier, vol. 127(C), pages 318-333.
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