Abstract
This paper is an informal discussion of how geometry and numerical analysis are intertwined in the computational study of dynamical systems and their bifurcations. We use the example of determining the phase portrait of planar vector fields to illustrate the more general and philosophical attitudes that constitute our main thesis. Few mathematical details are included.
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References
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© 1994 Springer Science+Business Media Dordrecht
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Guckenheimer, J. (1994). The Role of Geometry in Computational Dynamics. In: Chossat, P. (eds) Dynamics, Bifurcation and Symmetry. NATO ASI Series, vol 437. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0956-7_14
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DOI: https://doi.org/10.1007/978-94-011-0956-7_14
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4413-4
Online ISBN: 978-94-011-0956-7
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