Bifurcation theory of functional differential equations

著者

• Guo, Shangjian
• Wu, Jianhong

書誌事項

Bifurcation theory of functional differential equations

Shangjiang Guo, Jianhong Wu

（Applied mathematical sciences, v. 184）

Springer, c2013

注記

Includes bibliographical references (p. 275-286) and index

内容説明・目次

内容説明

This book provides a crash course on various methods from the bifurcation theory of Functional Differential Equations (FDEs). FDEs arise very naturally in economics, life sciences and engineering and the study of FDEs has been a major source of inspiration for advancement in nonlinear analysis and infinite dimensional dynamical systems. The book summarizes some practical and general approaches and frameworks for the investigation of bifurcation phenomena of FDEs depending on parameters with chap. This well illustrated book aims to be self contained so the readers will find in this book all relevant materials in bifurcation, dynamical systems with symmetry, functional differential equations, normal forms and center manifold reduction. This material was used in graduate courses on functional differential equations at Hunan University (China) and York University (Canada).

目次

Introduction to Dynamic Bifurcation Theory.- Introduction to Functional Differential Equations.-Center Manifold Reduction.- Normal form theory.- Lyapunov-Schmidt Reduction.- Degree theory.- Bifurcation in Symmetric FDEs .

「Nielsen BookData」 より

• NII書誌ID(NCID): BB13280895
• ISBN:
  • 9781461469919
• LCCN: 2013935530
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: New York
• ページ数/冊数: ix, 289 p.
• 大きさ: 25 cm
• 分類:
  • DC23 : 515.392
• 件名:
  • LCSH : Bifurcation theory
  • LCSH : Functional differential equations
• 親書誌ID:
  • BA00020952