Abstract
In this chapter we introduce and discuss the following fundamental notions that will be used throughout the book: topological equivalence of dynamical systems and their classification, bifurcations and bifurcation diagrams, and topological normal forms for bifurcations. The last section is devoted to the more abstract notion of structural stability. In this chapter we will be dealing only with dynamical systems in the state space X = Rn.
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© 1998 Springer-Verlag New York, Inc.
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(1998). Topological Equivalence, Bifurcations, and Structural Stability of Dynamical Systems. In: Elements of Applied Bifurcation Theory. Applied Mathematical Sciences, vol 112. Springer, New York, NY. https://doi.org/10.1007/978-0-387-22710-8_2
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DOI: https://doi.org/10.1007/978-0-387-22710-8_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-98382-0
Online ISBN: 978-0-387-22710-8
eBook Packages: Springer Book Archive