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Mathematics for Dynamic Modeling
This new edition of Mathematics for Dynamic Modeling updates a widely used and highly-respected textbook. The text is appropriate for upper-level undergraduate and graduate level courses in modeling, dynamical systems, differential equations, and linear multivariable systems offered in a variety of departments including mathematics, engineering, computer science, and economics. The text features many different realistic applications from a wide variety of disciplines.
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.
Simple Dynamic Models. Ordinary Differential Equations. Stability of Dynamic Models. There is a Better Way. Motion in Time and Space. Cycles and Bifurcation. Bifurcation and Catastrophe. Chaos. References. Notes. Index.