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Normal forms, melnikov functions and bifurcations of limit cycles

Author: Maoan Han; Pei Yu
Publisher: London ; New York : Springer, ©2012.
Series: Applied mathematical sciences (Springer-Verlag New York Inc.), v. 181.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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  Read more...
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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Maoan Han; Pei Yu
ISBN: 9781447129189 1447129180 1447129172 9781447129172
OCLC Number: 792942620
Description: 1 online resource (xi, 401 pages).
Contents: 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 --
Finding More Limit Cycles Using Melnikov Functions --
Limit Cycle Bifurcations in Equivariant Systems.
Series Title: Applied mathematical sciences (Springer-Verlag New York Inc.), v. 181.
Responsibility: Maoan Han, Pei Yu.

Abstract:

This book introduces the recent developments in the field and provides major advances in fundamental theory of limit cycles. It considers near Hamiltonian systems using Melnikov function as the main  Read more...

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From the reviews:"This monograph written by excellent specialists in the fundamental theory of limit cycles represents an introduction to the most new developments and systematical presentation of Read more...

 
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