Abstract
The word bifurcation means division into two and is used in a wide sense to indicate every qualitative topological metamorphosis of a picture under the variation of parameters on which the object being studied depends. The objects can be diverse: for example, real or complex curves or surfaces, functions or mappings, manifolds or fiber bundles, vector fields or equations, differential or integral.
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© 1988 Springer Science+Business Media New York
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Arnold, V.I. (1988). Local Bifurcation Theory. In: Geometrical Methods in the Theory of Ordinary Differential Equations. Grundlehren der mathematischen Wissenschaften, vol 250. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1037-5_6
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DOI: https://doi.org/10.1007/978-1-4612-1037-5_6
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6994-6
Online ISBN: 978-1-4612-1037-5
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