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On the prevalence of aperiodicity in simple systems

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Global Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 755))

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References

  1. V. Bjerknes, Das Problem der Wettervorhersage, betrachtet vom Standpunkt der Mechanik und der Physik, Meteorol. Zeit. (1904), 107.

    Google Scholar 

  2. J. Guckenheimer, On bifurcation of maps of the internal, Invent. Math., 39 (1977), 165–178.

    Article  MathSciNet  MATH  Google Scholar 

  3. G. Julia, Mémoire sur l'itération des fonctions rationelle, J. Math. Pures. Appl., 4 (1918), 47–245.

    MATH  Google Scholar 

  4. E.N. Lorenz, Deterministic nonperiodic flow, J. Atmos. Sci., 20 (1963), 130–141.

    Article  Google Scholar 

  5. E.N. Lorenz, The problem of deducing the climate from the governing equations, Tellus, 16 (1964), 1–11.

    Article  Google Scholar 

  6. E.N. Lorenz, An N-cycle time-differencing scheme for stepwise numerical integration. Mon. Weather Rev., 99, 644–648.

    Google Scholar 

  7. R.M. May, Simple mathematical models with very complicated dynamics, Nature, 261 (1976), 459–467.

    Article  Google Scholar 

  8. L.F. Richardson, Weather prediction by numerical process. Cambridge Univ. Press (1922).

    Google Scholar 

  9. D. Ruelle and F. Takens, On the nature of turbulence, Commun. Math. Physics, 20 (1971), 167–192.

    Article  MathSciNet  MATH  Google Scholar 

  10. B. Saltzman, Finite amplitude free convection as an initial value problem-I, J. Atmos. Sci., 19 (1962), 329–341.

    Article  Google Scholar 

  11. D. Singer, Stable orbits and bifurcation of maps of the interval, SIAM J. Appl. Math., 35 (1978), 260–267.

    Article  MathSciNet  MATH  Google Scholar 

  12. N. Wiener, Nonlinear prediction and dynamics. Proc. 3rd Berkeley Sympos. Math. Statistics and Probability, Vol. 3 (1956), 247–252.

    MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Massachusetts Institute of Technology, USA

    Edward N. Lorenz

Authors
  1. Edward N. Lorenz
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Miroslav Grmela Jerrold Eldon Marsden

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© 1979 Springer-Verlag

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Lorenz, E.N. (1979). On the prevalence of aperiodicity in simple systems. In: Grmela, M., Marsden, J.E. (eds) Global Analysis. Lecture Notes in Mathematics, vol 755. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069804

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  • DOI: https://doi.org/10.1007/BFb0069804

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09703-7

  • Online ISBN: 978-3-540-38462-5

  • eBook Packages: Springer Book Archive

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