Table of contents

  1. Full text access

    Front Matter

    Copyright

    Dedication

    Preface

  4. Book chapter No access

    APPENDIX - Ordinary Differential Equations: A Review

  5. Book chapter No access

    References and a Guide to Further Readings

  6. Book chapter No access

    Notes on the Individual Chapters

  7. Book chapter No access

    Index

About the book

Description

Mathematics for Dynamic Modeling provides an introduction to the mathematics of dynamical systems. This book presents the mathematical formulations in terms of linear and nonlinear differential equations. Organized into two parts encompassing nine chapters, this book begins with an overview of the notions of equilibrium and stability in differential equation modeling that occur in the guise of simple models in the plane. This text then focuses on nonlinear models in which the limiting behavior of orbits can be more complicated. Other chapters consider the problems that illustrate the concepts of equilibrium and stability, limit cycles, chaos, and bifurcation. This book discusses as well a variety of topics, including cusp catastrophes, strange attractors, and reaction–diffusion and shock phenomena. The final chapter deals with models that are based on the notion of optimization. This book is intended to be suitable for students in upper undergraduate and first-year graduate course in mathematical modeling.

Mathematics for Dynamic Modeling provides an introduction to the mathematics of dynamical systems. This book presents the mathematical formulations in terms of linear and nonlinear differential equations. Organized into two parts encompassing nine chapters, this book begins with an overview of the notions of equilibrium and stability in differential equation modeling that occur in the guise of simple models in the plane. This text then focuses on nonlinear models in which the limiting behavior of orbits can be more complicated. Other chapters consider the problems that illustrate the concepts of equilibrium and stability, limit cycles, chaos, and bifurcation. This book discusses as well a variety of topics, including cusp catastrophes, strange attractors, and reaction–diffusion and shock phenomena. The final chapter deals with models that are based on the notion of optimization. This book is intended to be suitable for students in upper undergraduate and first-year graduate course in mathematical modeling.

Details

Copyright

Copyright © 1987 Elsevier Inc. All rights reserved.

You currently don't have access to this book, however you can purchase separate chapters directly from the table of contents or buy the full version.

Purchase the book

Authors

Edward Beltrami

Department of Applied Mathematics, State University of New York at Stony Brook, Stony Brook, New York