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Attractor Dimension Estimates for Dynamical Systems: Theory and ComputationDimension Estimates for Dynamical Systems with Some Degree of Non-injectivity and Nonsmoothness

Attractor Dimension Estimates for Dynamical Systems: Theory and Computation: Dimension Estimates... [In this chapter dimension estimates for maps and dynamical systems with specific properties are derived. In Sect. 10.1 a class of non-injective smooth maps is considered. Dimension estimates for piecewise non-injective maps are given in Sect. 10.2. For piecewise smooth maps with a special singularity set upper Hausdorff dimension estimates are shown in Sect. 10.3. Lower dimension estimates are shown in Sect. 10.4.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Attractor Dimension Estimates for Dynamical Systems: Theory and ComputationDimension Estimates for Dynamical Systems with Some Degree of Non-injectivity and Nonsmoothness

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Publisher
Springer International Publishing
Copyright
© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
ISBN
978-3-030-50986-6
Pages
457 –507
DOI
10.1007/978-3-030-50987-3_10
Publisher site
See Chapter on Publisher Site

Abstract

[In this chapter dimension estimates for maps and dynamical systems with specific properties are derived. In Sect. 10.1 a class of non-injective smooth maps is considered. Dimension estimates for piecewise non-injective maps are given in Sect. 10.2. For piecewise smooth maps with a special singularity set upper Hausdorff dimension estimates are shown in Sect. 10.3. Lower dimension estimates are shown in Sect. 10.4.]

Published: Jul 2, 2020

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