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.
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© 1982 Springer-Verlag New York Inc.
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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
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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
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