Abstract
Numerical experiments indicate that for σ = 10, b = 8/3 and r > 313, there is a stable symmetric xy periodic orbit. Furthermore, we suggested in Chapter 5 that this periodic orbit and the three stationary points would, for large enough r, make up the whole of the non-wandering set. In this chapter, we show that there are theoretical reasons to expect both of these results. At the same time, we show that qualitatively more complicated large r behaviour may be expected for some values of the parameters σ and b.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1982 Springer-Verlag New York Inc.
About this chapter
Cite this chapter
Sparrow, C. (1982). Large r. 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_7
Download citation
DOI: https://doi.org/10.1007/978-1-4612-5767-7_7
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