Applied Delay Differential Equations

✍ Scribed by Thomas Erneux (auth.)

• Publisher: Springer-Verlag New York
• Year: 2009
• Tongue: English
• Leaves: 212
• Series: Surveys and Tutorials in the Applied Mathematical Sciences 3
• Edition: 1
• Category: Library

✦ Synopsis

Delay differential equations have numerous applications in science and engineering. This short, expository book offers a stimulating collection of examples of delay differential equations which are in use as models for a variety of phenomena in the life sciences, physics and technology, chemistry and economics. Avoiding mathematical proofs but offering more than one hundred illustrations, this book illustrates how bifurcation and asymptotic techniques can systematically be used to extract analytical information of physical interest.

Applied Delay Differential Equations is a friendly introduction to the fast-growing field of time-delay differential equations. Written to a multi-disciplinary audience, it sets each area of science in his historical context and then guides the reader towards questions of current interest.

Thomas Erneux was a professor in Applied Mathematics at Northwestern University from 1982 to 1993. He then joined the Department of Physics at the Université Libre de Bruxelles.

✦ Table of Contents

Front Matter....Pages 1-10
Introduction....Pages 1-27
Stability....Pages 1-20
Biology....Pages 1-25
Bernoulli’s equation....Pages 1-16
Chemistry....Pages 1-18
Mechanical vibrations....Pages 1-26
Lasers....Pages 1-34
Phase equations....Pages 1-12
Back Matter....Pages 1-24

✦ Subjects

Appl.Mathematics/Computational Methods of Engineering;Dynamical Systems and Ergodic Theory;Mathematical Methods in Physics;Ordinary Differential Equations