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Scaling in nature: from DNA through heartbeats to weather

Author

Listed:
  • Havlin, S.
  • Buldyrev, S.V.
  • Bunde, A.
  • Goldberger, A.L.
  • Ivanov, P.Ch.
  • Peng, C.-K.
  • Stanley, H.E.

Abstract

The purpose of this talk is to describe some recent progress in applying scaling concepts to various systems in nature. We review several systems characterized by scaling laws such as DNA sequences, heartbeat rates and weather variations. We discuss the finding that the exponent α quantifying the scaling in DNA in smaller for coding than for noncoding sequences. We also discuss the application of fractal scaling analysis to the dynamics of heartbeat regulation, and report the recent finding that the scaling exponent α is smaller during sleep periods compared to wake periods. We also discuss the recent findings that suggest a universal scaling exponent characterizing the weather fluctuations.

Suggested Citation

  • Havlin, S. & Buldyrev, S.V. & Bunde, A. & Goldberger, A.L. & Ivanov, P.Ch. & Peng, C.-K. & Stanley, H.E., 1999. "Scaling in nature: from DNA through heartbeats to weather," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 273(1), pages 46-69.
    • Handle: RePEc:eee:phsmap:v:273:y:1999:i:1:p:46-69
    DOI: 10.1016/S0378-4371(99)00340-4
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    References listed on IDEAS

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    1. Ivanov, P.Ch & Rosenblum, M.G & Peng, C.-K & Mietus, J.E & Havlin, S & Stanley, H.E & Goldberger, A.L, 1998. "Scaling and universality in heart rate variability distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 249(1), pages 587-593.
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    Cited by:

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    3. Lei, Yadong & Zhang, Feng & Miao, Lijuan & Yu, Qiu-Run & Duan, Mingkeng & Fraedrich, Klaus & Yu, Zifeng, 2020. "Potential impacts of future reduced aerosols on internal dynamics characteristics of precipitation based on model simulations over southern China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    4. Yuan, Naiming & Fu, Zuntao & Mao, Jiangyu, 2010. "Different scaling behaviors in daily temperature records over China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(19), pages 4087-4095.
    5. Machado Filho, A. & da Silva, M.F. & Zebende, G.F., 2014. "Autocorrelation and cross-correlation in time series of homicide and attempted homicide," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 400(C), pages 12-19.
    6. Pavlos, G.P. & Karakatsanis, L.P. & Iliopoulos, A.C. & Pavlos, E.G. & Xenakis, M.N. & Clark, Peter & Duke, Jamie & Monos, D.S., 2015. "Measuring complexity, nonextensivity and chaos in the DNA sequence of the Major Histocompatibility Complex," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 438(C), pages 188-209.

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