An edition of Bifurcations in piecewise-smooth continuous systems (2010)

Bifurcations in piecewise-smooth continuous systems

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Cover of: Bifurcations in piecewise-smooth continuous systems by David John Warwick Simpson, David John Warwick Simpson
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Last edited by ImportBot
March 28, 2025 | History
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An edition of Bifurcations in piecewise-smooth continuous systems (2010)

Bifurcations in piecewise-smooth continuous systems

by

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.

Publish Date
Publisher
World Scientific
Language
English
Pages
238

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Subjects

Differential equations, Bifurcation theory, Saccharomyces cerevisiae, Differentiable dynamical systems
Edition Availability
Cover of: Bifurcations in Piecewise-Smooth Continuous Systems
Bifurcations in Piecewise-Smooth Continuous Systems
2010, World Scientific Publishing Co Pte Ltd
in English
Cover of: Bifurcations in piecewise-smooth continuous systems
Bifurcations in piecewise-smooth continuous systems
2010, World Scientific
in English
Cover of: Bifurcations in Piecewise-Smooth Continuous Systems
Bifurcations in Piecewise-Smooth Continuous Systems
2010, World Scientific Publishing Co Pte Ltd
in English

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Book Details

Edition Notes

Originally presented as: Thesis (Ph.D.)--University of Colorado at Boulder, 2008.

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

Published in
New Jersey
Series
World Scientific series on nonlinear science. Series A, Monographs and treatises -- v. 70, World Scientific series on nonlinear science -- v. 70.

Classifications

Dewey Decimal Class
515.35
Library of Congress
QA380 .S56 2010,

The Physical Object

Pagination
xv, 238 p. :
Number of pages
238

Edition Identifiers

Open Library
OL25085807M
ISBN 10
9814293849
ISBN 13
9789814293846
LCCN
2010484011
OCLC/WorldCat
496957923

Work Identifiers

Work ID
OL16238606W

Source records

Library of Congress MARC record
Internet Archive item record
Internet Archive item record
Better World Books record
Library of Congress MARC record
Promise Item

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History

Download catalog record: RDF / JSON / OPDS | Wikipedia citation
March 28, 2025 Edited by ImportBot Redacting ocaids
December 4, 2022 Edited by ImportBot import existing book
October 9, 2020 Edited by ImportBot import existing book
September 24, 2020 Edited by MARC Bot import existing book
November 4, 2011 Created by LC Bot Imported from Library of Congress MARC record