Skip to main content

Period Doubling and Stable Orbits

  • Chapter

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

Abstract

Several authors have noticed that numerical simulations of the Lorenz equations indicate the existence of stable periodic orbits in some intervals of r-values. This behaviour is quite different from the behaviour discussed in Chapter 3, since for r-values near 28.0 we saw no stable periodic orbits, and had strong arguments that none could exist. We will attempt to reconcile the two phenomena in Chapter 5.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • DOI: 10.1007/978-1-4612-5767-7_4
  • Chapter length: 25 pages
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
eBook
USD   119.00
Price excludes VAT (USA)
  • ISBN: 978-1-4612-5767-7
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD   159.99
Price excludes VAT (USA)

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and Permissions

Copyright information

© 1982 Springer-Verlag New York Inc.

About this chapter

Cite this chapter

Sparrow, C. (1982). Period Doubling and Stable Orbits. 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_4

Download citation

  • DOI: https://doi.org/10.1007/978-1-4612-5767-7_4

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-90775-8

  • Online ISBN: 978-1-4612-5767-7

  • eBook Packages: Springer Book Archive