Nonlinear Dynamics: A Two-Way Trip from Physics to Math provides readers with the mathematical tools of nonlinear dynamics to tackle problems in all areas of physics. The selection of topics emphasizes bifurcation theory and topological analysis of dynamical systems. The book includes real-life problems and experiments as well as exercises and worked examples to test understanding.
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für Beruf und Forschung
Professional
Maße
Höhe: 234 mm
Breite: 156 mm
Dicke: 20 mm
Gewicht
ISBN-13
978-0-7503-0380-4 (9780750303804)
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Schweitzer Klassifikation
Acknowledgments. Preface. Nonlinear dynamics in nature. Linear dynamics. Nonlinear examples. Elements of the description. Elementary stability theory. Bi-dimensional flows. Bifurcations. Numerical experiments. Global bifurcations: I. Horseshoes. One-dimensional maps. Topological structure of three-dimensional flows. The dynamics behind data. Perturbative methods: averaging. Bifurcations and symmetries. Global bifurcations: II. References. Index
