Elements of Applied Bifurcation Theory von Yuri Kuznetsov | ISBN 9780387983820

Elements of Applied Bifurcation Theory

von Yuri Kuznetsov
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Buchcover Elements of Applied Bifurcation Theory | Yuri Kuznetsov | EAN 9780387983820 | ISBN 0-387-98382-1 | ISBN 978-0-387-98382-0

Review of earlier edition

„I know of no other book that so clearly explains the basic phenomena of bifurcation theory.“ Math Reviews „The book is a fine addition to the dynamical systems literature. It is good to see, in our modern rush to quick publication, that we, as a mathematical community, still have time to bring together, and in such a readable and considered form, the important results on our subject.“ Bulletin of the AMS

From the reviews of the third edition:

„In the third edition of this textbook, the material again has been slightly extended while the main structure of the book was kept. … the clear structure of the book allows applied scientists to use it as a reference book. … Kuznetsov’s book on applied bifurcation theory is still very useful both as a textbook and as a reference work for researchers from the natural sciences, engineering or economics.“ (Jörg Härterich, Zentralblatt MATH, Vol. 1082, 2006)

Elements of Applied Bifurcation Theory

von Yuri Kuznetsov
Providing readers with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems, the focus here is on efficient numerical implementations of the developed techniques. The book is designed for advanced undergraduates or graduates in applied mathematics, as well as for Ph. D. students and researchers in physics, biology, engineering, and economics who use dynamical systems as model tools in their studies. A moderate mathematical background is assumed, and, whenever possible, only elementary mathematical tools are used. This new edition preserves the structure of the first while updating the context to incorporate recent theoretical developments, in particular new and improved numerical methods for bifurcation analysis.