Handbook of Differential Equations Ordinary Differential Equations Volume 4 1st Edition by Flaviano Battelli, Michal Fečkan ISBN 0444530312 9780444530318

Handbook of Differential Equations Ordinary Differential Equations Volume 4 1st Edition by Flaviano Battelli, Michal Fečkan – Ebook PDF Instant Download/Delivery:0444530312, 9780444530318
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Product details: 

ISBN 10: 0444530312 

ISBN 13: 9780444530318

Author: Flaviano Battelli, Michal Fečkan

Table of contents: 

Chapter 1: Symmetric Hopf Bifurcation: Twisted Degree Approach
1 Introduction
2 Auxiliary information
3 Twisted equivariant degree: Construction and basic properties
4 Hopf bifurcation problem for ODEs without symmetries
5 Hopf bifurcation problem for ODEs with symmetries
6 Symmetric Hopf bifurcation for FDEs
7 Symmetric Hopf bifurcation problems for functional parabolic systems of equations
8 Applications
Acknowledgment
Chapter 2: Nonautonomous Differential Systems in Two Dimensions
1 Introduction
2 Preliminaries
3 The projective flow
4 Algebro-geometric Sturm–Liouville coefficients
5 Genericity of exponential dichotomy
Chapter 3: Complex Differential Equations
Preface
1 Local theory of complex differential equations
2 Linear differential equations in the complex plane
3 Linear differential equations in the unit disc
4 Non-linear differential equations in a complex domain
5 Algebroid solutions of complex differential equations
Acknowledgement
Chapter 4: Transversal Periodic-to-Periodic Homoclinic Orbits
1 Introduction
2 Trichotomies
3 Hyperbolic periodic orbits and their stable and unstable manifolds
4 Homoclinic orbits
5 Robustness of transversal periodic-to-periodic homoclinic orbits
6 Finding transversal periodic-to-periodic homoclinic orbits through regular perturbation
7 Finding transversal periodic-to-periodic homoclinic orbits through numerical shadowing
Chapter 5: Successive Approximation Techniques in Non-Linear Boundary Value Problems for Ordinary Differential Equations
Abstract
1 Notation
2 Introduction
3 Periodic successive approximations for non-autonomous systems
4 Successive approximations for autonomous systems
5 Periodic solutions of differential systems with symmetries
6 Two-point boundary value problem with non-linear non-separated conditions
7 A non-linear problem with another type of separated boundary conditions
8 Parametrisation method for three-point boundary value problems
9 Historical remarks
10 Exercises
Chapter 6: Analytic Ordinary Differential Equations and Their Local Classification
Abstract
1 Introduction
2 Linear differential equations
3 Holomorphic vector fields
4 Bogdanov–Takens singularity

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