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Other Approaches, Other Systems, Summary and Afterword

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Part of the Applied Mathematical Sciences book series (AMS,volume 41)

Abstract

In this section we will not summarize all the results discussed in these notes (readers are referred to the relevant chapters for such summaries) but will attempt to draw together all the material that is useful in predicting bifurcations for general values of the parameters σ, b and r. We shall concentrate first on the two-dimensional parameter plane given by σ = 10 on which we have the most experience.

Keywords

  • Periodic Orbit
  • Hopf Bifurcation
  • Strange Attractor
  • Lorenz System
  • Period Doubling

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© 1982 Springer-Verlag New York Inc.

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Sparrow, C. (1982). Other Approaches, Other Systems, Summary and Afterword. In: The Lorenz Equations: Bifurcations, Chaos, and Strange Attractors. Applied Mathematical Sciences, vol 41. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5767-7_9

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  • DOI: https://doi.org/10.1007/978-1-4612-5767-7_9

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-90775-8

  • Online ISBN: 978-1-4612-5767-7

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