Coverart for item
The Resource Bifurcations in piecewise-smooth continuous systems, David John Warwick Simpson, (electronic book)

Bifurcations in piecewise-smooth continuous systems, David John Warwick Simpson, (electronic book)

Label
Bifurcations in piecewise-smooth continuous systems
Title
Bifurcations in piecewise-smooth continuous systems
Statement of responsibility
David John Warwick Simpson
Creator
Subject
Language
eng
Summary
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
Cataloging source
CaPaEBR
http://library.link/vocab/creatorName
Simpson, David John Warwick
Dewey number
515.35
Illustrations
illustrations
Index
index present
LC call number
QA380
LC item number
.S56 2010eb
Literary form
non fiction
Nature of contents
  • standards specifications
  • bibliography
Series statement
World Scientific series on nonlinear science.
Series volume
70
http://library.link/vocab/subjectName
  • Bifurcation theory
  • Differential equations
  • Saccharomyces cerevisiae
Label
Bifurcations in piecewise-smooth continuous systems, David John Warwick Simpson, (electronic book)
Instantiates
Publication
Note
Originally presented as: Thesis (Ph.D.)--University of Colorado at Boulder, 2008
Bibliography note
Includes bibliographical references (p. 215-235) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
ebr10422400
Dimensions
24 cm.
Dimensions
unknown
Extent
xv, 238 p.
Form of item
electronic
Isbn
9789814293846
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Original version note
Original electronic resource
Other physical details
ill. (some col.)
Reproduction note
Electronic resource.
Specific material designation
remote
Label
Bifurcations in piecewise-smooth continuous systems, David John Warwick Simpson, (electronic book)
Publication
Note
Originally presented as: Thesis (Ph.D.)--University of Colorado at Boulder, 2008
Bibliography note
Includes bibliographical references (p. 215-235) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
ebr10422400
Dimensions
24 cm.
Dimensions
unknown
Extent
xv, 238 p.
Form of item
electronic
Isbn
9789814293846
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Original version note
Original electronic resource
Other physical details
ill. (some col.)
Reproduction note
Electronic resource.
Specific material designation
remote

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