Nonlinear Dynamics: A Two-Way Trip from Physics to Math

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

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