Abstract
We have discussed the main properties of continuous dynamical systems (or flows) in preceding chapters. In this chapter, we will study the corresponding properties of discrete systems. Because research on discrete dynamical systems is relatively simple and straightforward, theorems on diffeomorphism are often presented first, followed by the relevant discussion. In addition, flows are sometimes discretized in order to obtain their properties by studying relatively low-dimensional dynamical systems. As preparative knowledge for the bifurcation theory, the concept of structural stability will be explained in the final part of this chapter.
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© 1998 Springer-Verlag London Limited
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Chen, Y., Leung, A.Y.T. (1998). Discrete Dynamical Systems. In: Bifurcation and Chaos in Engineering. Springer, London. https://doi.org/10.1007/978-1-4471-1575-5_3
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DOI: https://doi.org/10.1007/978-1-4471-1575-5_3
Publisher Name: Springer, London
Print ISBN: 978-1-4471-1577-9
Online ISBN: 978-1-4471-1575-5
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