Numerical Continuation Methods for Dynamical Systems : Path following and boundary value problems. 1st ed. 2007

種類:

電子ブック

責任表示:

edited by Bernd Krauskopf, Hinke M. Osinga, Jorge Galan-Vioque

出版情報:

Dordrecht : Springer Netherlands : Imprint: Springer, 2007

著者名:

• Krauskopf, Bernd.
• Osinga, Hinke M.
• Galan-Vioque, Jorge.
• SpringerLink (Online service)

シリーズ名:

Understanding Complex Systems ;

ISBN:

9781402063565 [1402063563]    

注記:

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 -- Continuation and Bifurcation Analysis of Delay Differential Equations.
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 that the book will become the natural entry point for researchers in diverse disciplines who wish to learn what numerical continuation techniques can achieve. The book opens with a foreword by Herbert B. Keller and lecture notes by Sebius Doedel himself that introduce the basic concepts of numerical bifurcation analysis. The other chapters by leading experts discuss continuation for various types of systems and objects a

ローカル注記:

学内専用E-BOOKS (local access only)