Numerical Continuation Methods for Dynamical Systems: Path following and boundary value problems

Numerical Continuation Methods for Dynamical Systems: Path following and boundary value problems

Paperback(2007)

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Product Details

ISBN-13: 9789400797024
Publisher: Springer Netherlands
Publication date: 10/30/2014
Series: Understanding Complex Systems
Edition description: 2007
Pages: 399
Product dimensions: 6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

Introduction
Foreword; Herbert B. Keller.
1. Lecture Notes on Numerical Analysis of Nonlinear Equations; Eusebius J. Doedel.
2. Interactive Continuation Tools; Willy Govaerts and Yuri A. Kuznetzov.
3. Higher-Dimensional Continuation; Michael E. Henderson.
4. Computing Invariant Manifolds via the Continuation of Orbit Segments; Bernd Krauskopf and Hinke M. Osinga.
5. The Dynamics of SQUIDs and Coupled Pendula; Donald G. Aronson and Hans G. Othmer.
6. Global Bifurcation Analysis in Laser Systems; Emilio Freire and Alejandro J. Rodríguez-Luis.
8. Periodic Orbit Continuation in Multiple Time Scale Systems; John Guckenheimer and M. Drew Lamar.
9. Continuation of Periodic orbits in Symmetric Hamiltonian Systems; Jorge Galán-Vioque aand André Vanderbauwhede.
10. Phase Conditions, Symmetries and PDE Continuation; Wolf-Jürgen Beyn and Vera Thümmler.
11. Numerical Computation of Coherent Structures; Alan R. Champneys and Björn Sandstede.
12. Continuation and Bifurcation Analysis of Delay Differential Equations; Dirk Roose and Robert Szalai.
Index.

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