Numerical continuation methods for dynamical systems : path following and boundary value problems / [edited by] Bernd Krauskopf, Hinke M. Osinga, Jorge Galán-Vioque
Front Matter; Lecture Notes on Numerical Analysis of Nonlinear Equations; Interactive Continuation Tools; Higher-Dimensional Continuation; Computing Invariant Manifolds via the Continuation of Orbit Segments; The Dynamics of SQUIDs and Coupled Pendula; Global Bifurcation Analysis in Laser Systems; Numerical Bifurcation Analysis of Electronic Circuits; Periodic Orbit Continuation in Multiple Time Scale Systems; Continuation of Periodic Orbits in Symmetric Hamiltonian Systems; Phase Conditions, Symmetries and PDE Continuation; Numerical Computation of Coherent Structures
Summary
Path following in combination with boundary value problem solvers has emerged as a continuing and strong influence in the development of dynamical systems theory and its application. It is widely acknowledged that the software package AUTO - developed by Eusebius J. Doedel about thirty years ago and further expanded and developed ever since - plays a central role in the brief history of numerical continuation. This book has been compiled on the occasion of Sebius Doedel's 60th birthday. Bringing together for the first time a large amount of material in a single, accessible source, it is hoped
