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The Resource Frequency-domain approach to Hopf bifurcation analysis : continuous time-delayed systems, Franco Sebastián Gentile, Jorge Luis Moiola, Guanrong Chen

Frequency-domain approach to Hopf bifurcation analysis : continuous time-delayed systems, Franco Sebastián Gentile, Jorge Luis Moiola, Guanrong Chen

Label
Frequency-domain approach to Hopf bifurcation analysis : continuous time-delayed systems
Title
Frequency-domain approach to Hopf bifurcation analysis
Title remainder
continuous time-delayed systems
Statement of responsibility
Franco Sebastián Gentile, Jorge Luis Moiola, Guanrong Chen
Creator
Contributor
Author
Subject
Language
eng
Summary
"This book is devoted to the study of an effective frequency-domain approach, based on systems control theory, to compute and analyze several types of standard bifurcation conditions for general continuous-time nonlinear dynamical systems. A very rich pictorial gallery of local bifurcation diagrams for such nonlinear systems under simultaneous variations of several system parameters is presented. Some higher-order harmonic balance approximation formulas are derived for analyzing the oscillatory dynamics in small neighborhoods of certain types of Hopf and degenerate Hopf bifurcations. The frequency-domain approach is then extended to the large class of delay-differential equations, where the time delays can be either discrete or distributed. For the case of discrete delays, two alternatives are presented, depending on the structure of the underlying dynamical system, where the more general setting is then extended to the case of distributed time-delayed systems. Some representative examples in engineering and biology are discussed"--
Member of
Assigning source
Provided by publisher
Cataloging source
LBSOR/DLC
http://library.link/vocab/creatorName
Gentile, Franco Sebastián
Dewey number
515/.35
Illustrations
illustrations
Index
index present
LC call number
QA380
LC item number
.G45 2020
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Moiola, Jorge L.
  • Chen, G.
Series statement
World Scientific series on nonlinear science. Series A, Monographs and treatises
Series volume
volume 96
http://library.link/vocab/subjectName
  • Bifurcation theory
  • Differential equations, Nonlinear
  • Time-domain analysis
  • Time delay systems
  • Bifurcation theory
  • Differential equations, Nonlinear
  • Time delay systems
  • Time-domain analysis
Label
Frequency-domain approach to Hopf bifurcation analysis : continuous time-delayed systems, Franco Sebastián Gentile, Jorge Luis Moiola, Guanrong Chen
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 351-368) and indexes
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Stability and bifurcation analysis -- The Hopf bifurcation theorem in the frequency domain -- Analysis of static and multiple bifurcations -- Degenerate Hopf bifurcations -- Higher-order Hopf bifurcation formulas -- Hopf bifurcation in continuous-time systems with discrete-time delays -- Hopf bifurcation in continuous-time systems with distributed time delays -- Degenerate bifurcations in time-delayed systems
Control code
1100771648
Dimensions
24 cm.
Extent
xiv, 378 pages
Isbn
9789811205460
Lccn
2019042798
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)1100771648
Label
Frequency-domain approach to Hopf bifurcation analysis : continuous time-delayed systems, Franco Sebastián Gentile, Jorge Luis Moiola, Guanrong Chen
Publication
Bibliography note
Includes bibliographical references (pages 351-368) and indexes
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Stability and bifurcation analysis -- The Hopf bifurcation theorem in the frequency domain -- Analysis of static and multiple bifurcations -- Degenerate Hopf bifurcations -- Higher-order Hopf bifurcation formulas -- Hopf bifurcation in continuous-time systems with discrete-time delays -- Hopf bifurcation in continuous-time systems with distributed time delays -- Degenerate bifurcations in time-delayed systems
Control code
1100771648
Dimensions
24 cm.
Extent
xiv, 378 pages
Isbn
9789811205460
Lccn
2019042798
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)1100771648

Library Locations

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      38.944377 -92.326537
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