Bifurcations In Piecewise-smooth Continuous Systems

David John Warwick Simpson (Univ Of British Columbia, Usa)

$219.99

Hardback

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English

World Scientific Publishing Co Pte Ltd
15 January 2010

Chaos theory

Series: World Scientific Series on Nonlinear Science Series A

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.

By: David John Warwick Simpson (Univ Of British Columbia Usa)
Imprint: World Scientific Publishing Co Pte Ltd
Country of Publication: Singapore
Volume: 70
Dimensions: Height: 229mm, Width: 155mm, Spine: 20mm
Weight: 454g
ISBN: 9789814293846
ISBN 10: 9814293849
Series: World Scientific Series on Nonlinear Science Series A
Pages: 256
Publication Date: 15 January 2010
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Hardback
Publisher's Status: Active

Fundamentals of Piecewise-Smooth, Continuous Systems; Discontinuous Bifurcations in Planar Systems; Codimension-Two, Discontinuous Bifurcations; The Growth of Saccharomyces cerevisiae; Codimension-Two, Border-Collision Bifurcations; Periodic Solutions and Resonance Tongues; Neimark-Sacker-Like Bifurcations;

PERHAPS A GIFT VOUCHER FOR MUM?: MOTHER'S DAY

Bifurcations In Piecewise-smooth Continuous Systems

David John Warwick Simpson (Univ Of British Columbia, Usa)

$219.99

Hardback

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