Bifurcations in piecewise-smooth continuous systems

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

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 sys...

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Superior document:World Scientific series on nonlinear science. Series A, Monographs and treatises ; v. 70
:
ProQuest (Firm)
Simpson, David John Warwick.
TeilnehmendeR:
ProQuest (Firm)
Year of Publication:2010
Language:English
Series:World Scientific series on nonlinear science. Monographs and treatises ; v. 70.
Online Access:
Physical Description:xv, 238 p. :; ill. (some col.).
Notes:Originally presented as: Thesis (Ph.D.)--University of Colorado at Boulder, 2008.
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spelling Simpson, David John Warwick.
Bifurcations in piecewise-smooth continuous systems [electronic resource] / David John Warwick Simpson.
New Jersey : World Scientific, 2010.
xv, 238 p. : ill. (some col.).
World Scientific series on nonlinear science. Series A, Monographs and treatises ; v. 70
Originally presented as: Thesis (Ph.D.)--University of Colorado at Boulder, 2008.
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. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.
Bifurcation theory.
Differential equations.
Saccharomyces cerevisiae.
Electronic books.
ProQuest (Firm)
World Scientific series on nonlinear science. Series A, Monographs and treatises ; v. 70.
https://ebookcentral.proquest.com/lib/oeawat/detail.action?docID=731331 Click to View
language English
format Electronic
eBook
author Simpson, David John Warwick.
spellingShingle Simpson, David John Warwick.
Bifurcations in piecewise-smooth continuous systems
World Scientific series on nonlinear science. Series A, Monographs and treatises ;
author_facet Simpson, David John Warwick.
ProQuest (Firm)
ProQuest (Firm)
author_variant d j w s djw djws
author2 ProQuest (Firm)
author2_role TeilnehmendeR
author_corporate ProQuest (Firm)
author_sort Simpson, David John Warwick.
title Bifurcations in piecewise-smooth continuous systems
title_full Bifurcations in piecewise-smooth continuous systems [electronic resource] / David John Warwick Simpson.
title_fullStr Bifurcations in piecewise-smooth continuous systems [electronic resource] / David John Warwick Simpson.
title_full_unstemmed Bifurcations in piecewise-smooth continuous systems [electronic resource] / David John Warwick Simpson.
title_auth Bifurcations in piecewise-smooth continuous systems
title_new Bifurcations in piecewise-smooth continuous systems
title_sort bifurcations in piecewise-smooth continuous systems
series World Scientific series on nonlinear science. Series A, Monographs and treatises ;
series2 World Scientific series on nonlinear science. Series A, Monographs and treatises ;
publisher World Scientific,
publishDate 2010
physical xv, 238 p. : ill. (some col.).
isbn 9789814293853 (electronic bk.)
callnumber-first Q - Science
callnumber-subject QA - Mathematics
callnumber-label QA380
callnumber-sort QA 3380 S56 42010
genre Electronic books.
genre_facet Electronic books.
url https://ebookcentral.proquest.com/lib/oeawat/detail.action?docID=731331
illustrated Illustrated
dewey-hundreds 500 - Science
dewey-tens 510 - Mathematics
dewey-ones 515 - Analysis
dewey-full 515.35
dewey-sort 3515.35
dewey-raw 515.35
dewey-search 515.35
oclc_num 670429733
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hierarchy_parent_title World Scientific series on nonlinear science. Series A, Monographs and treatises ; v. 70
hierarchy_sequence v. 70.
is_hierarchy_title Bifurcations in piecewise-smooth continuous systems
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