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Bifurcations in piecewise-smooth con...

Simpson, David John Warwick.

Bifurcations in piecewise-smooth continuous systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Bifurcations in piecewise-smooth continuous systemsDavid John Warwick Simpson.
Author:	Simpson, David John Warwick.
Published:	Singapore ;World Scientific Pub. Co.,c2010.
Description:	xv, 238 p. :ill. (some col.)
Subject:	Differential equations.
Online resource:	http://www.worldscientific.com/worldscibooks/10.1142/7612#t=toc
ISBN:	9789814293853 (electronic bk.)

Bifurcations in piecewise-smooth continuous systems
Simpson, David John Warwick.

Bifurcations in piecewise-smooth continuous systems[electronic resource] /David John Warwick Simpson. - Singapore ;World Scientific Pub. Co.,c2010. - xv, 238 p. :ill. (some col.) - World Scientific series on nonlinear science. Series A, Monographs and treatises ;v. 70. - World Scientific series on nonlinear science.Series A,Monographs and treatises ;v. 45..

Includes bibliographical references (p. 215-235) and index.

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.

Electronic reproduction.
Singapore :
World Scientific Publishing Co.,
2010.

System requirements: Adobe Acrobat Reader.

ISBN: 9789814293853 (electronic bk.)Subjects--Topical Terms:

183925
Differential equations.

LC Class. No.: QA380

Dewey Class. No.: 515.35

Bifurcations in piecewise-smooth continuous systems
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300 $a xv, 238 p. : $b ill. (some col.)
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