Bifurcation theory of functional differential equations : bizarre bodies of the solar system and beyond

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). 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. The 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)--back Cover. Front Matter....Pages i-ix Introduction to Dynamic Bifurcation Theory....Pages 1-40 Introduction to Functional Differential Equations....Pages 41-60 Center Manifold Reduction....Pages 61-83 Normal Form Theory....Pages 85-117 Lyapunov–Schmidt Reduction....Pages 119-151 Degree Theory....Pages 153-230 Bifurcation in Symmetric FDEs....Pages 231-273 Back Matter....Pages 275-289