Normal forms, melnikov functions and bifurcations of limit cycles
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 bifurcati...
Bewaard in:
| Hoofdauteurs: | , |
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| Formaat: | Livre numérique |
| Taal: | Anglais |
| Gepubliceerd in: |
London :
Springer London
[20..].
Cham : Springer Nature |
| Editie: | 1st ed. 2012. |
| Reeks: | Applied Mathematical Sciences
181 |
| Onderwerpen: | |
| Online toegang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Titre provenant de l'écran-titre Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Normal forms, melnikov functions and bifurcations of limit cycles, Maoan Han, Pei Yu, 2012, London, Springer, 1 vol. (XI-401 p.), Applied mathematical sciences, 978-1-4471-2917-2 • Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles, Texte imprimé, 9781447158301 • Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles, Texte imprimé, 9781447129196 |
| Samenvatting: | 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 |
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| Beschrijving item: | Titre provenant de l'écran-titre Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| ISBN: | 9781447129189 |
| ISSN: | 2196-968X |
| Toegang: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |