Abstract
We consider dynamical systems consisting of the iteration of continuous functions on compact metric spaces. Basic definitions and results on chain recurrence and the Conley Decomposition Theorem in this setting are presented. An ε-pseudo-orbit approximation for the dynamics, with ε of fixed size, is presented as a mathematical representation of a computer model of such a discrete dynamical system. We see that the Conley decomposition of a space can be approximated by an ε-coarse Conley decomposition in this setting.
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Norton, D.E. (2008). Epsilon-Pseudo-Orbits and Applications. In: Minai, A.A., Bar-Yam, Y. (eds) Unifying Themes in Complex Systems IV. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73849-7_8
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DOI: https://doi.org/10.1007/978-3-540-73849-7_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-73848-0
Online ISBN: 978-3-540-73849-7
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