Elements of Applied Bifurcation Theory

This book provides a detailed exploration of bifurcation theory within nonlinear dynamical systems, making it essential for students and researchers alike. Elements of Applied Bifurcation Theory is a valuable resource.

The book Elements of Applied Bifurcation Theory focuses on the intricacies of nonlinear dynamical systems and their bifurcations as parameters change. It offers readers a comprehensive foundation in dynamical systems theory, paired with clear procedures for applying general mathematical principles to specific issues. The emphasis on practical applications makes this text particularly valuable for those looking to bridge theory and practice in their work.

In Elements of Applied Bifurcation Theory, special attention is given to efficient numerical methods that enhance the understanding of the developed techniques. The use of recent research examples serves to illustrate key concepts, making the material accessible and relevant. This approach not only enriches the reader's comprehension but also demonstrates the applicability of bifurcation theory across various fields.

Targeted at advanced undergraduate and graduate students in applied mathematics, as well as Ph.D. candidates and researchers in fields such as physics, biology, engineering, and economics, this book assumes a moderate mathematical background. The new edition retains the structure of its predecessors while incorporating updates to reflect recent advancements in theory and software, ensuring that readers are equipped with modern techniques for bifurcation analysis.