Ferdinand Verhulst graduated in theoretical astrophysics in 1966 at the University of Amsterdam, and he got his Ph.D. in mathematics at Utrecht University in 1973. His main interest and research are on approximation theory of solutions of differential equations and applications in physics and engineering. The author wrote a number of books on these topics, partly co-authored; also he edited a number of lecture notes in mathematics and conference proceedings. He is now still active in these fields as Emeritus Professor of nonlinear dynamics at Utrecht University.
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Averaging for Nonlinear Dynamics with Applications and Numerical Bifurcations
Ferdinand Verhulst
This book presents a comprehensive and practical survey of averaging methods for differential equations. Combining rigorous theory with applied perspectives, this book serves as both a study text and a reference for mathematicians and scientists in fields such as engineering, physics, and biology.Divided into two complementary parts, the book begins with Part I, the Toolbox of Averaging Theorems, providing clear definitions, theorem formulations, and foundational results. While mathematicians may be...
