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Scaling relations in the lyapunov exponents of one dimensional maps

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Abstract

We establish numerically the validity of Huberman-Rudnick scaling relation for Lyapunov exponents during the period doubling route to chaos in one dimensional maps. We extend our studies to the context of a combination map, where the scaling index is found to be different.

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References

  1. G Ambika and K Babu Joseph,Pramana — J. Phys. 39, 193 (1992)

    ADS  Google Scholar 

  2. M J Feigenbaum,J. Stat. Phys. 21, 665 (1979)

    Article  ADS  MathSciNet  Google Scholar 

  3. B A Huberman and J Rudnick,Phys. Rev. Lett. 45, 154 (1980)

    Article  ADS  MathSciNet  Google Scholar 

  4. S C Johnstone and R C Hilborne,Phys. Rev. A37, 2680 (1988)

    ADS  Google Scholar 

  5. B Shraiman, E Wayne and P C Martin,Phys. Rev. Lett. 46, 935 (1981)

    Article  ADS  MathSciNet  Google Scholar 

  6. J C Earnshaw and D Haughey,Am. J. Phys. 61, 5 (1993)

    Article  Google Scholar 

  7. J P Crutchfield, J D Farmer and B A Huberman,Phys. Rep. 92, 45 (1982)

    Article  ADS  MathSciNet  Google Scholar 

  8. B Hu and I I Satija,Phys. Lett. A98, 143 (1983)

    ADS  MathSciNet  Google Scholar 

  9. H G Schuster,Deterministic chaos, (Physik Verlag, Weinheim, 1984)

    MATH  Google Scholar 

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Author notes

  1. P R Krishnan Nair & G Ambika

    Present address: Department of Physics, Maharajas College, 682 011, Cochin, India

Authors and Affiliations

  1. Department of Physics, Cochin University of Science and Technology, 682 022, Cochin, India

    P R Krishnan Nair, V M Nandakumaran & G Ambika

Authors
  1. P R Krishnan Nair
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  2. V M Nandakumaran
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  3. G Ambika
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Krishnan Nair, P.R., Nandakumaran, V.M. & Ambika, G. Scaling relations in the lyapunov exponents of one dimensional maps. Pramana - J. Phys 43, 421–429 (1994). https://doi.org/10.1007/BF02847616

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  • DOI: https://doi.org/10.1007/BF02847616

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