Springer - Numerical Continuation Methods for Dynamical Systems

Explore the essential principles of path following and boundary value problems in this specialized volume from the Understanding Complex Systems series. This book addresses the significant role that numerical continuation plays in the development of dynamical systems theory and its practical applications. As a central resource, the text highlights the impact of the AUTO software package, developed by Eusebius J. Doedel. Since its creation thirty years ago, AUTO has been a major influence in the field. This collection was compiled to honor the 60th birthday of Sebius Doedel, bringing together a vast amount of material that was previously scattered. By gathering these resources into a single, accessible source, this book serves as a comprehensive guide for those studying or working with complex systems. It provides a clear look at how path following and boundary value solvers work together to advance modern mathematical theory.