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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles
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Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles
Maoan Han, Pei Yu (Broschiert, Englisch)
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Beschreibung
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. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
08.05.2014
Sprache
Englisch
EAN
9781447158301
Herausgeber
Springer London
Serien- oder Bandtitel
Applied Mathematical Sciences
Sonderedition
Nein
Autor
Maoan Han, Pei Yu
Seitenanzahl
404
Einbandart
Broschiert
Schlagwörter
Hamiltonian systems, Hilbert’s 16th problem, Melnikov function, dynamical system theory, normal form, theory of limit cycles, ordinary differential equations
Thema-Inhalt
GPFC - Kybernetik und Systemtheorie
PBKJ - Differentialrechnung und -gleichungen
UFM - Mathematische und statistische Software
PHJ - Optische Physik
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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