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The Resource Bifurcation in autonomous and nonautonomous differential equations with discontinuities, Marat Akhment, Ardak Kashkynbayev

Bifurcation in autonomous and nonautonomous differential equations with discontinuities, Marat Akhment, Ardak Kashkynbayev

Label
Bifurcation in autonomous and nonautonomous differential equations with discontinuities
Title
Bifurcation in autonomous and nonautonomous differential equations with discontinuities
Statement of responsibility
Marat Akhment, Ardak Kashkynbayev
Creator
Contributor
Author
Subject
Language
eng
Summary
This book is devoted to bifurcation theory for autonomous and nonautonomous differential equations with discontinuities of different types. That is, those with jumps present either in the right-hand-side or in trajectories or in the arguments of solutions of equations. The results obtained in this book can be applied to various fields such as neural networks, brain dynamics, mechanical systems, weather phenomena, population dynamics, etc. Without any doubt, bifurcation theory should be further developed to different types of differential equations. In this sense, the present book will be a leading one in this field. The reader will benefit from the recent results of the theory and will learn in the very concrete way how to apply this theory to differential equations with various types of discontinuity. Moreover, the reader will learn new ways to analyze nonautonomous bifurcation scenarios in these equations. The book will be of a big interest both for beginners and experts in the field. For the former group of specialists, that is, undergraduate and graduate students, the book will be useful since it provides a strong impression that bifurcation theory can be developed not only for discrete and continuous systems, but those which combine these systems in very different ways. The latter group of specialists will find in this book several powerful instruments developed for the theory of discontinuous dynamical systems with variable moments of impacts, differential equations with piecewise constant arguments of generalized type and Filippov systems. A significant benefit of the present book is expected to be for those who consider bifurcations in systems with impulses since they are presumably nonautonomous systems
Member of
Cataloging source
N$T
http://library.link/vocab/creatorName
Akhmet, Marat
Dewey number
  • 515/.392
  • 510
Index
no index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Kashkynbayev, Ardak
Series statement
Nonlinear physical science,
http://library.link/vocab/subjectName
Bifurcation theory
Label
Bifurcation in autonomous and nonautonomous differential equations with discontinuities, Marat Akhment, Ardak Kashkynbayev
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references
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
Contents
Introduction -- Hopf Bifurcation in Impulsive Systems -- Hopf Bifurcation in Fillopov Systems -- Nonautonomous Transcritical and Pitchfork Bifurcations in an Impulsive Bernoulli Equations -- Nonautonomous Transcritical and Pitchfork Bifurcations in Scalar Non-solvable Impulsive Differential Equations -- Nonautonomous Transcritical and Pitchfork Bifurcations in Bernoulli Equations with Piecewise Constant Argument of Generalized Type
Control code
ocn970041931
Dimensions
unknown
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9789811031809
Isbn Type
(electronic bk.)
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-981-10-3180-9
Quality assurance targets
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)970041931
Label
Bifurcation in autonomous and nonautonomous differential equations with discontinuities, Marat Akhment, Ardak Kashkynbayev
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references
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
Contents
Introduction -- Hopf Bifurcation in Impulsive Systems -- Hopf Bifurcation in Fillopov Systems -- Nonautonomous Transcritical and Pitchfork Bifurcations in an Impulsive Bernoulli Equations -- Nonautonomous Transcritical and Pitchfork Bifurcations in Scalar Non-solvable Impulsive Differential Equations -- Nonautonomous Transcritical and Pitchfork Bifurcations in Bernoulli Equations with Piecewise Constant Argument of Generalized Type
Control code
ocn970041931
Dimensions
unknown
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9789811031809
Isbn Type
(electronic bk.)
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-981-10-3180-9
Quality assurance targets
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)970041931

Library Locations

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