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Books > Science & Mathematics > Mathematics > Applied mathematics > Chaos theory

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Bifurcations In Piecewise-smooth Continuous Systems (Hardcover) Loot Price: R3,213

Discovery Miles 32 130

Repayment Terms: R301 pm x 12*

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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 R3,213 Discovery Miles 32 130 | Repayment Terms: R301 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 Promotions
LSN:	981-4293-84-9
Barcode:	9789814293846