Abstract
In this chapter we study local bifurcations of vector fields and maps. By the term “local” we mean bifurcations occurring in a neighborhood of a fixed point. The term “bifurcation of a fixed point” will be defined after we have considered several examples. We begin by studying bifurcations of fixed points of vector fields.
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© 1990 Springer Science+Business Media New York
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Wiggins, S. (1990). Local Bifurcations. In: Introduction to Applied Nonlinear Dynamical Systems and Chaos. Texts in Applied Mathematics, vol 2. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-4067-7_4
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DOI: https://doi.org/10.1007/978-1-4757-4067-7_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4757-4069-1
Online ISBN: 978-1-4757-4067-7
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