Coverart for item
The Resource Normal forms, melnikov functions and bifurcations of limit cycles, Maoan Han, Pei Yu

Normal forms, melnikov functions and bifurcations of limit cycles, Maoan Han, Pei Yu

Label
Normal forms, melnikov functions and bifurcations of limit cycles
Title
Normal forms, melnikov functions and bifurcations of limit cycles
Statement of responsibility
Maoan Han, Pei Yu
Creator
Contributor
Subject
Language
eng
Summary
Dynamical system theory has developed rapidly over the past fifty years. It is a subject upon which the theory of limit cycles has a significant impact for both theoretical advances and practical solutions to problems. Hopf bifurcation from a center or a focus¡ is integral to the theory of bifurcation of limit cycles, for which normal form theory is a central tool. Although Hopf bifurcation has been studied for more than half a century, and normal form theory for over 100 years, efficient computation in this area is still a challenge with implications for Hilbert's 16th problem. This book introduces the most recent developments in this field and provides major advances in fundamental theory of limit cycles. Split into two parts, the first focuses on¡ the study of limit cycles bifurcating from Hopf singularity using normal form theory with later application to Hilbert's 16th problem, while the second considers near Hamiltonian systems using Melnikov function as the main mathematical tool. Classic topics with new results are presented in a clear and concise manner and are accompanied by the liberal use of illustrations throughout. Containing a wealth of examples and structured algorithms that are treated in detail, a good balance between theoretical and applied topics is demonstrated. By including complete Maple programs within the text, this book also enables the reader to reconstruct the majority of formulas provided, facilitating the use of concrete models for study. Through the adoption of an elementary and practical approach, this book will be of use to graduate mathematics students wishing to study the theory of limit cycles as well as scientists, across a number of disciplines, with an interest in the applications of periodic behavior
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorDate
1961-
http://library.link/vocab/creatorName
Han, Maoan
Dewey number
515/.39
Index
index present
LC call number
QA371
LC item number
.H36 2012
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1947-
http://library.link/vocab/relatedWorkOrContributorName
Yu, Pei
Series statement
Applied mathematical sciences,
Series volume
v. 181
http://library.link/vocab/subjectName
  • Limit cycles
  • Nonlinear systems
  • Mathematics
  • Nonlinear Dynamics
  • MATHEMATICS
  • Limit cycles
  • Nonlinear systems
Label
Normal forms, melnikov functions and bifurcations of limit cycles, Maoan Han, Pei Yu
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references 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
Contents
  • Finding More Limit Cycles Using Melnikov Functions
  • Limit Cycle Bifurcations in Equivariant Systems
  • Introduction
  • Hopf Bifurcation and Normal Form Computation
  • Comparison of Methods for Computing Focus Values
  • Application (I)-Hilbert's 16th Problem
  • Application (II)-Practical Problems
  • Fundamental Theory of the Melnikov Function Method
  • Limit Cycle Bifurcations Near a Center
  • Limit Cycles Near a Homoclinic or Heteroclinic Loop
Control code
792942620
Dimensions
unknown
Extent
1 online resource (xi, 401 pages).
File format
unknown
Form of item
online
Isbn
9781447129172
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)792942620
Label
Normal forms, melnikov functions and bifurcations of limit cycles, Maoan Han, Pei Yu
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references 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
Contents
  • Finding More Limit Cycles Using Melnikov Functions
  • Limit Cycle Bifurcations in Equivariant Systems
  • Introduction
  • Hopf Bifurcation and Normal Form Computation
  • Comparison of Methods for Computing Focus Values
  • Application (I)-Hilbert's 16th Problem
  • Application (II)-Practical Problems
  • Fundamental Theory of the Melnikov Function Method
  • Limit Cycle Bifurcations Near a Center
  • Limit Cycles Near a Homoclinic or Heteroclinic Loop
Control code
792942620
Dimensions
unknown
Extent
1 online resource (xi, 401 pages).
File format
unknown
Form of item
online
Isbn
9781447129172
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)792942620

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