Dynamical Systems: An Introduction with Applications in Economics and Biology by Pierre N.V. TuDynamical Systems: An Introduction with Applications in Economics and Biology by Pierre N.V. Tu

Dynamical Systems: An Introduction with Applications in Economics and Biology

byPierre N.V. Tu

Paperback | June 20, 1994

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This book - perhaps the only of its kind - gives a comprehensive account of Dynamical Systems in a plain non-technical language which is as rigorous as it can be made 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 nonlinear dynamical systems, linearization theory, limit cycles, Gradient, Lagrangean and Hamiltonian dynamical systems. Apart from a new chapter on Floquet theory, Centre Manifold theorems and Liapunov-Schmidt reduction, this second edition also includes new materials, additional examples, illustrations and applications: almost every chapter has been re-written and enlarged to keep up with rapid advances in this field.
Title:Dynamical Systems: An Introduction with Applications in Economics and BiologyFormat:PaperbackPublished:June 20, 1994Publisher:Springer Berlin HeidelbergLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3540576614

ISBN - 13:9783540576617

Reviews

Table of Contents

Contents: Introduction.- Review of Ordinary Differential Equations.- Review of Difference Equations.- Review of Some Linear Algebra.- First Order Differential Equations Systems.- First Order Difference Equations Systems.- Nonlinear Systems.- Gradient Systems, Lagrangean and Hamiltonean Systems.- Simplifying Dynamical Systems.- Bifurcation, Chaos and Catastrophes in Dynamical Systems .- Optimal Dynamical Systems.- Some Applications in Economics and Biology.

Editorial Reviews

"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