Nonlinear Dynamics : Between Linear and Impact Limits
Nonlinear Dynamics represents a wide interdisciplinary area of research dealing with a variety of unusual physical phenomena by means of nonlinear differential equations, discrete mappings, and related mathematical algorithms. However, with no real substitute for the linear superposition principle,...
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| Glavni autor: | |
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| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Izdanje: | 1st ed. 2010. |
| Serija: | Lecture Notes in Applied and Computational Mechanics
52 |
| Online pristup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Bilješka: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Nonlinear dynamics, between linear and impact limits, Valery N. Pilipchuk, Berlin, Springer, 2010, 1 vol. (364 p.), Lecture notes in applied and computational mechanics, 978-3-642-12798-4 • Nonlinear Dynamics, Texte imprimé, 9783642128004 • Nonlinear Dynamics, Texte imprimé, 9783642263538 • Nonlinear Dynamics, Texte imprimé, 9783662602270 • Nonlinear dynamics, between linear and impact limits, Valery N. Pilipchuk, Berlin, Springer, 2010, 1 vol. (364 p.), Lecture notes in applied and computational mechanics, 978-3-642-12798-4 • Nonlinear Dynamics, Texte imprimé, 9783642128004 • Nonlinear Dynamics, Texte imprimé, 9783642263538 • Nonlinear Dynamics, Texte imprimé, 9783662602270 |
| Sažetak: | Nonlinear Dynamics represents a wide interdisciplinary area of research dealing with a variety of unusual physical phenomena by means of nonlinear differential equations, discrete mappings, and related mathematical algorithms. However, with no real substitute for the linear superposition principle, the methods of Nonlinear Dynamics appeared to be very diverse, individual and technically complicated. This book makes an attempt to find a common ground for nonlinear dynamic analyses based on the existence of strongly nonlinear but quite simple counterparts to the linear models and tools. It is shown that, since the subgroup of rotations, harmonic oscillators, and the conventional complex analysis generate linear and weakly nonlinear approaches, then translations and reflections, impact oscillators, and hyperbolic (Clifford s) algebras must give rise to some quasi impact methodology. Such strongly nonlinear methods are developed in several chapters of this book based on the idea of non-smooth time substitutions. Although most of the illustrations are based on mechanical oscillators, the area of applications may include also electric, electro-mechanical, electrochemical and other physical models generating strongly anharmonic temporal signals or spatial distributions. Possible applications to periodic elastic structures with non-smooth or discontinuous characteristics are outlined in the final chapter of the book. |
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| Opis djela: | Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| ISBN: | 9783642127991 |
| ISSN: | 1860-0816 |
| Pristup: | 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 |