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Acrust Soc. Singularly perturbed systems appear naturally in the modelling of many processes that are characterized by slow and fast motions simultaneously, for example, in fluid dynamics and nonlinear mechanics.
The result is a reduced differential system of lesser order. However, it inherits the essential elements of the qualitative behaviour of the original system.
Singular Perturbations differs from other literature on the subject due to its methods and wide range of applications. It is a valuable reference for specialists in the areas of applied mathematics, engineering, physics, biology, as well as advanced undergraduates for the earlier parts of the book, and graduate students for the later chapters. Michael P.
He has published extensively in the general area of nonlinear waves with special reference to bounded media. He was President of University College Cork for 10 years before taking up a personal Chair in Applied Mathematics, and he is now retired. This book gives many examples of such a reduction being performed by applying the mathematical theory of singular perturbations. The information below has been drawn from sources outside of the University of Wisconsin-Madison Libraries. In most instances, the information will be from sources that have not been peer reviewed by scholarly or research communities.
Please report cases in which the information is inaccurate through the Contact Us link below. Singular perturbations : introduction to system order reduction methods with applications Shchepakina, Elena, author.
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