Abstract
Two numerical methods for the analysis of the orientability of homoclinic trajectories (i.e. the orientability of invariant manifolds of the corresponding saddle) are presented. The methods are developed for the case when the saddle has only one positive eigenvalue. As an example, one of the methods is applied to Lorenz equations.
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© 1991 Birkhäuser Verlag Basel
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Kuznetsov, Y.A. (1991). Numerical Analysis of the Orientability of Homoclinic Trajectories. In: Seydel, R., Schneider, F.W., Küpper, T., Troger, H. (eds) Bifurcation and Chaos: Analysis, Algorithms, Applications. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 97. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7004-7_30
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DOI: https://doi.org/10.1007/978-3-0348-7004-7_30
Publisher Name: Birkhäuser Basel
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Online ISBN: 978-3-0348-7004-7
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