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Bifurcations In Piecewise-smooth Continuous Systems

Name: Bifurcations In Piecewise-smooth Continuous Systems
Brand: World Scientific Publishing Co Pte Ltd
SKU: 05069986
Price: 127.97 EUR
Availability: InStock
Author: Simpson
ISBN: 9789814293846

Simpson

David John Warwick (Univ Of British Columbia

Usa)

Language

English

Book Hardback

Libristo code: 05069986

Publishers World Scientific Publishing Co Pte Ltd, January 2010

Real-world systems that involve some non-smooth change are often well-modeled by piecewise-smooth sy... Full description

Libristo code: 05069986

310 b

127.97 €

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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. Neimark-Sacker-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.