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Han, Maoan; Yu, Pei - Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles - 9781447129172 - V9781447129172
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Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles

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Description for Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles hardcover. 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 mathematical tool. Series: Applied Mathematical Sciences. Num Pages: 416 pages, biography. BIC Classification: PBKJ; PBWR; UFM. Category: (P) Professional & Vocational. Dimension: 242 x 166 x 29. Weight in Grams: 740.

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 ... Read more

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.

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Product Details

Format
Hardback
Publication date
2012
Publisher
Springer London Ltd United Kingdom
Number of pages
416
Condition
New
Series
Applied Mathematical Sciences
Number of Pages
404
Place of Publication
England, United Kingdom
ISBN
9781447129172
SKU
V9781447129172
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15

Reviews for Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles
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 ... Read more

Goodreads reviews for Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles


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