Numerical continuation methods for dynamical systems : path following and boundary value problems
著者
書誌事項
Numerical continuation methods for dynamical systems : path following and boundary value problems
(Understanding complex systems / founding editor, J.A. Scott Kelso)(Springer complexity)
Springer , Canopus publishing, c2007
- : pbk
大学図書館所蔵 全8件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
"Dedicated to Eusebius J. Doedel for his 60th birthday"
内容説明・目次
内容説明
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 and showcase examples of how numerical bifurcation analysis can be used in concrete applications. Topics that are treated include: interactive continuation tools, higher-dimensional continuation, the computation of invariant manifolds, and continuation techniques for slow-fast systems, for symmetric Hamiltonian systems, for spatially extended systems and for systems with delay. Three chapters review physical applications: the dynamics of a SQUID, global bifurcations in laser systems, and dynamics and bifurcations in electronic circuits.
目次
- 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. Rodriguez-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 Galan-Vioque aand Andre Vanderbauwhede. 10. Phase Conditions, Symmetries and PDE Continuation
- Wolf-Jurgen Beyn and Vera Thummler. 11. Numerical Computation of Coherent Structures
- Alan R. Champneys and Bjoern Sandstede. 12. Continuation and Bifurcation Analysis of Delay Differential Equations
- Dirk Roose and Robert Szalai. Index.
「Nielsen BookData」 より