Bifurcations in Piecewise - Smooth Continuous Systems: 70 (World Scientific Series on Nonlinear Science Series A)

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Bifurcations in Piecewise - Smooth Continuous Systems: 70 (World Scientific Series on Nonlinear Science Series A)

Name: Bifurcations in Piecewise - Smooth Continuous Systems: 70 (World Scientific Series on Nonlinear Science Series A)
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Rating: 4.3 (17 reviews)
Author: Simpson
ISBN: 9789814293846

by Simpson

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Author Simpson

Publisher World Scientific Publishing Company

Synopsis Real-world systems that involve some non-smooth change are often well-modeled by piecewise-smooth systems. However there still remain many gaps in the mathematical theory of such systems. This doctoral thesis presents new results regarding bifurcations of piecewise-smooth, continuous, autonomous systems of ordinary differential equations and maps. Various codimension-two, discontinuity induced bifurcations are unfolded in a rigorous manner. Several of these unfoldings are applied to a mathematical model of the growth of Saccharomyces cerevisiae (a common yeast). The nature of resonance near border-collision bifurcations is described; in particular, the curious geometry of resonance tongues in piecewise-smooth continuous maps is explained in detail. NeimarkSacker-like border-collision bifurcations are both numerically and theoretically investigated. A comprehensive background section is conveniently provided for those with little or no experience in piecewise-smooth systems.

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Binding: Paperback

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Specifications

Language: English
Publisher: World Scientific Publishing Company
Pages: 256 pages
Binding: Paperback

ISBN: 9789814293846
Category: Nonlinear Science, Chaos and Dynamical Systems
Related Category: Academics