Abstract
The situation that we shall be concerned with in this chapter is the following: we consider a differential system that depends on auxiliary parameters (as in Chapt. 5, we may talk about control parameters, hidden parameters, imperfection parameters, … ) and we wish to understand how the phase portrait changes as the parameters vary. This is the question answered by catastrophe theory when we restrict to dissipative systems governed by a potential, and take as the only significant features of the phase portrait the equilibrium positions and their bifurcations.
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© 2000 Springer-Verlag Berlin Heidelberg
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Demazure, M. (2000). Bifurcations of Phase Portraits. In: Bifurcations and Catastrophes. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-57134-3_11
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DOI: https://doi.org/10.1007/978-3-642-57134-3_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-52118-1
Online ISBN: 978-3-642-57134-3
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