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Bifurcations In Piecewise-smooth Continuous Systems (Hardcover) Loot Price: R3,140
Discovery Miles 31 400
Bifurcations In Piecewise-smooth Continuous Systems (Hardcover): David John Warwick Simpson

Bifurcations In Piecewise-smooth Continuous Systems (Hardcover)

David John Warwick Simpson

Series: World Scientific Series on Nonlinear Science Series A, 70

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Loot Price R3,140 Discovery Miles 31 400 | Repayment Terms: R294 pm x 12*

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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.

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.

General

Imprint: World Scientific Publishing Co Pte Ltd
Country of origin: Singapore
Series: World Scientific Series on Nonlinear Science Series A, 70
Release date: 2010
First published: March 2010
Authors: David John Warwick Simpson
Dimensions: 235 x 162 x 20mm (L x W x T)
Format: Hardcover
Pages: 256
ISBN-13: 978-981-4293-84-6
Categories: Books > Science & Mathematics > Mathematics > Applied mathematics > Chaos theory
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LSN: 981-4293-84-9
Barcode: 9789814293846

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