Nonlinear Dynamics: A Two-Way Trip from Physics to Math, 1st Edition (Paperback) book cover

Nonlinear Dynamics

A Two-Way Trip from Physics to Math, 1st Edition

By H.G Solari, M.A Natiello, G.B Mindlin

CRC Press

366 pages

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Description

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.

Table of Contents

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

Subject Categories

BISAC Subject Codes/Headings:
MAT007000
MATHEMATICS / Differential Equations
SCI055000
SCIENCE / Physics