The book covers important tools such as linearization, feedback concepts, the use of Liapunov functions, and optimal control. This new edition is a valuable tool for understanding and teaching a rapidly growing field. Practitioners and researchers may also find this book of interest.
* Contains a new chapter on stability of dynamic models
* Covers many realistic applications from a wide variety of fields in an accessible manner
* Provides a broad introduction to the full scope of dynamical systems
* Incorporates new developments such as new models for chemical reactions and autocatalysis
* Integrates MATLAB throughout the text in both examples and illustrations
* Includes a new introduction to nonlinear differential equations
Ordinary Differential Equations.
Stability of Dynamic Models.
There is a Better Way.
Motion in Time and Space.
Cycles and Bifurcation.
Bifurcation and Catastrophe.
Edward Beltrami has been a professor in the Department of Applied Mathematics and Statistics at SUNY Stony Brook for three decades. Prior to this,Dr. Beltrami worked as an engineer at the former Grumman Aerospace Corporation. He has lectured widely and spent extended periods at universities abroad, especially in Italy. With a joint appointment in the Marine Sciences Research Center at SUNY, Beltrami has wide-ranging research interests, from optimization methods in Operation Research to the dynamics of biochemical reactions in blood clotting.