Bifurcation Theory And Applications
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Bifurcation Theory and Applications
- Provides a comprehensive and intuitive review of existing bifurcation theories - New theories for bifurcations from eigenvalues with even multiplicity - General recipes for applications
Elements of Applied Bifurcation Theory
Author: Yuri Kuznetsov
language: en
Publisher: Springer Science & Business Media
Release Date: 2004-06-29
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.
Bifurcation Theory
This book presents the main theorems in bifurcation theory in an abstract setting and shows how they can be applied to partial differential equations. It will serve as an important reference for students and researchers in mathematics, physics, and engineering.