Author: Antonio F. IzePublisher:
ISBN: 9783662214510
Category :
Languages : en
Pages : 436
Book Description
Functional Differential Equations and Bifurcation
Author: Antonio F. IzePublisher:
ISBN: 9783662214510
Category :
Languages : en
Pages : 436
Book Description
Functional Differential Equations and Bifurcation
Author: Antonio F. IzePublisher: Springer
ISBN: 3540392513
Category : Science
Languages : en
Pages : 435
Book Description
Bifurcation Theory of Functional Differential Equations
Author: Shangjiang GuoPublisher: Springer Science & Business Media
ISBN: 1461469929
Category : Mathematics
Languages : en
Pages : 295
Book Description
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).
Functional Differential Equations and Bifurcation
Author: Antonio Fernandes IzeFunctional Differential Equations and Bifurcation
Author: A. F. IzéPublisher:
ISBN:
Category : Bifurcation theory
Languages : en
Pages : 446
Book Description
Bifurcation from a Saddle Connection in Functional Differential Equations
Author: Hans-Otto WaltherPublisher:
ISBN:
Category : Bifurcation theory
Languages : en
Pages : 84
Book Description
Functional Differential Equations and Bifurcation
Author: A. F. IzeTheory of Functional Differential Equations
Author: Jack K. HalePublisher: Springer Science & Business Media
ISBN: 146129892X
Category : Mathematics
Languages : en
Pages : 374
Book Description
Since the publication of my lecture notes, Functional Differential Equations in the Applied Mathematical Sciences series, many new developments have occurred. As a consequence, it was decided not to make a few corrections and additions for a second edition of those notes, but to present a more compre hensive theory. The present work attempts to consolidate those elements of the theory which have stabilized and also to include recent directions of research. The following chapters were not discussed in my original notes. Chapter 1 is an elementary presentation of linear differential difference equations with constant coefficients of retarded and neutral type. Chapter 4 develops the recent theory of dissipative systems. Chapter 9 is a new chapter on perturbed systems. Chapter 11 is a new presentation incorporating recent results on the existence of periodic solutions of autonomous equations. Chapter 12 is devoted entirely to neutral equations. Chapter 13 gives an introduction to the global and generic theory. There is also an appendix on the location of the zeros of characteristic polynomials. The remainder of the material has been completely revised and updated with the most significant changes occurring in Chapter 3 on the properties of solutions, Chapter 5 on stability, and Chapter lOon behavior near a periodic orbit.
Nonlinear Differential Equations
Author: Piero de MottoniPublisher: Academic Press
ISBN: 1483262499
Category : Mathematics
Languages : en
Pages : 370
Book Description
Nonlinear Differential Equations: Invariance, Stability, and Bifurcation presents the developments in the qualitative theory of nonlinear differential equations. This book discusses the exchange of mathematical ideas in stability and bifurcation theory. Organized into 26 chapters, this book begins with an overview of the initial value problem for a nonlinear wave equation. This text then focuses on the interplay between stability exchange for a stationary solution and the appearance of bifurcating periodic orbits. Other chapters consider the development of methods for ascertaining stability and boundedness and explore the development of bifurcation and stability analysis in nonlinear models of applied sciences. This book discusses as well nonlinear hyperbolic equations in further contributions, featuring stability properties of periodic and almost periodic solutions. The reader is also introduced to the stability problem of the equilibrium of a chemical network. The final chapter deals with suitable spaces for studying functional equations. This book is a valuable resource for mathematicians.
Topics in Functional Differential and Difference Equations
Author: Teresa FariaPublisher: American Mathematical Soc.
ISBN: 0821827014
Category : Mathematics
Languages : en
Pages : 394
Book Description
This volume contains papers written by participants at the Conference on Functional Differential and Difference Equations held at the Instituto Superior Técnico in Lisbon, Portugal. The conference brought together mathematicians working in a wide range of topics, including qualitative properties of solutions, bifurcation and stability theory, oscillatory behavior, control theory and feedback systems, biological models, state-dependent delay equations, Lyapunov methods, etc. Articles are written by leading experts in the field. A comprehensive overview is given of these active areas of current research. The book will be of interest to both theoretical and applied mathematical scientists.