Overview

This study gives a comprehensive account of dynamical systems in a plain, non-technical language which is as rigorous as possible at this introductory level. Starting from the first steps of differential equations, on the assumption that readers only have a modest mathematical background, it quickly takes them to non-linear dynamical systems, linearization theory, limit cycles, gradient, Lagrangean and Hamiltonian dynamical systems as well as more advanced material such as bifurcation, chaos, catastrophes and optimal dynamical systems.

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9783540576617

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"""This book is the most useful recent review of differential equation systems that I have seen. The exposition is clear, explicit and accurate. It strikes an effective balance between rigor and readability, arguing proofs for the simpler cases, but citing publications for the more complex."" The Quarterly Review of Biology"

This book is the most useful recent review of differential equation systems that I have seen. The exposition is clear, explicit and accurate. It strikes an effective balance between rigor and readability, arguing proofs for the simpler cases, but citing publications for the more complex. The Quarterly Review of Biology

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