Introduction to Applied Nonlinear Dynamical Systems and Chaos

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This introduction to applied nonlinear dynamics and chaos places emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about their behavior. The new edition has been updated and extended throughout, and contains a detailed glossary of terms.

From the reviews:

Will serve as one of the most eminent introductions to the geometric theory of dynamical systems. –Monatshefte fur Mathematik