Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles

Author:   Maoan Han ,  Pei Yu
Publisher:   Springer London Ltd
Edition:   2012 ed.
Volume:   181
ISBN:  

9781447158301


Pages:   404
Publication Date:   08 May 2014
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles


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Author:   Maoan Han ,  Pei Yu
Publisher:   Springer London Ltd
Imprint:   Springer London Ltd
Edition:   2012 ed.
Volume:   181
Dimensions:   Width: 15.50cm , Height: 2.20cm , Length: 23.50cm
Weight:   0.635kg
ISBN:  

9781447158301


ISBN 10:   144715830
Pages:   404
Publication Date:   08 May 2014
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.

Reviews

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 major advances in this field which come mainly from the authors' own recent research results. ... Classic topics with recent results are presented in a clear and concise manner that will be suitable for post-graduate students studying the theory of limit cycles as well as for scientists interesting in the applications of periodic behavior. (Alexander Grin, Zentralblatt MATH, Vol. 1252, 2012) This excellent book advances the theory of Limit Cycles-isolated periodic orbits that are sometimes referred to as self-sustained oscillations in the literature. ... This book stands out with worked-out examples galore and efficient and accessible algorithms on classical subjects ... . The authors aim at shedding new light on 'old' settled results as well as introducing recent advances in the field. The book achieves both handsomely, through a highly readable and convincing exposition that harnesses the power of modern computational tools ... . (Bourama Toni, Mathematical Reviews, January, 2013)


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