Nonlinear Dynamics

A Two-Way Trip from Physics to Math
1. Auflage 1996
ISBN: 978-0-7503-0380-4
Verlag: CRC Press

Buch, Englisch, 366 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 562 g

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.

Zielgruppe

Professional

Autoren/Hrsg.

Solari, H. G

Natiello, M. A

Mindlin, G. B

Fachgebiete

• Naturwissenschaften Physik Mechanik
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Geometrie Dynamische Systeme

Inhaltsverzeichnis

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

Über Autor(innen)

H.G Solari