INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9789814293846
NATIONAL BIBLIOGRAPHY NUMBER
Country Code
IR
Number
EN-54192
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
انگلیسی
COUNTRY OF PUBLICATION OR PRODUCTlON
Country of publication
IR
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Bifurcations in piecewise-smooth continuous systems
General Material Designation
[Book]
First Statement of Responsibility
/ David John Warwick Simpson
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New Jersey
Name of Publisher, Distributor, etc.
: World Scientific,
Date of Publication, Distribution, etc.
, 2010.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xv, 238 p. , ill. (some col.) , 24 cm.
SERIES
Series Title
(World Scientific series on nonlinear science. Series A, Monographs and treatises
Volume Designation
; v. 70)
GENERAL NOTES
Text of Note
Originally presented as: Thesis (Ph.D.)--University of Colorado at Boulder, 2008.
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Electronic
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (p. 215-235) and index.
CONTENTS NOTE
Text of Note
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.
SERIES
Title
World Scientific series on nonlinear science.Series A,Monographs and treatises
Volume Number
v. 70
TOPICAL NAME USED AS SUBJECT
Bifurcation theory
Differential equations
Saccharomyces cerevisiae
LIBRARY OF CONGRESS CLASSIFICATION
Class number
E-BOOK
PERSONAL NAME - PRIMARY RESPONSIBILITY
Simpson, David John Warwick.
ORIGINATING SOURCE
Country
ایران
ELECTRONIC LOCATION AND ACCESS
Host name
9789814293846.pdf
Access number
عادی
Compression information
عادی
Date and Hour of Consultation and Access
9789814293846.pdf
Electronic Format Type
متن
old catalog
e
BL
1
a
Y
