Abstract
In this chapter we present the elements of a general theory for flows on three-dimensional compact manifolds, encompassing flows with equilibria accumulated by regular trajectories. The main motivation for the development of this theory was the Lorenz system of ordinary differential equations whose numerical solution suggested the existence of a robust chaotic attractor with an equilibrium coexisting with regular trajectories accumulating on it.
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© 2010 Springer-Verlag Berlin Heidelberg
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Araújo, V., Pacifico, M.J. (2010). Introduction. In: Three-Dimensional Flows. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, vol 53. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11414-4_1
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DOI: https://doi.org/10.1007/978-3-642-11414-4_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-11413-7
Online ISBN: 978-3-642-11414-4
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