BIFURCATION THEORY OF FUNCTIONAL DIFFERENTIAL EQUATIONS: A SURVEY (Q5121223)

scientific article; zbMATH DE number 7246355

Language	Label	Description	Also known as
English	BIFURCATION THEORY OF FUNCTIONAL DIFFERENTIAL EQUATIONS: A SURVEY	scientific article; zbMATH DE number 7246355

Statements

instance of

scholarly article

0 references

title

BIFURCATION THEORY OF FUNCTIONAL DIFFERENTIAL EQUATIONS: A SURVEY (English)

0 references

0 references

0 references

Journal of Applied Analysis & Computation

0 references

publication date

11 September 2020

0 references

zbMATH Keywords

Hopf bifurcation

0 references

center manifold theory

0 references

normal form theory

0 references

Lyapunov-Schmidt reduction

0 references

degree theory

0 references

describes a project that uses

Maple

0 references

MaRDI profile type

MaRDI publication profile

0 references

full work available at URL

https://doi.org/10.11948/2015057

0 references

cites work

Integrated semigroups and delay differential equations

0 references

Global Bifurcations of Periodic Orbits

0 references

Q4744562

0 references

Normal forms near critical points for differential equations and maps

0 references

Remarks on the equivariant degree theory

0 references

Reduced \(\text{SO}(3)\times S^1\)-equivariant degree with applications to symmetric bifurcation problems.

0 references

Generalized hopf bifurcation and h-asymptotic stability

0 references

Quasi-invariant manifolds, stability, and generalized Hopf bifurcation

0 references

Bifurcation of periodic solutions of delay differential equation with two delays.

0 references

Fixed point theory and nonlinear problems

0 references

Q3961135

0 references

Restrictions and unfolding of double Hopf bifurcation in functional differential equations

0 references

Stability and Hopf bifurcation for a population delay model with diffusion effects

0 references

Versal unfoldings for linear retarded functional differential equations.

0 references

Equivariant versal unfoldings for linear retarded functional differential equations

0 references

Delay Differential Equations

0 references

Zero singularities of codimension two and three in delay differential equations

0 references

Applications of centre manifold theory

0 references

Further reductions of normal forms for dynamical systems

0 references

Stability and Hopf bifurcation in a diffusive logistic population model with nonlocal delay effect

0 references

Q4492675

0 references

Q3948194

0 references

Integral averaging and bifurcation

0 references

The Fuller index and global Hopf bifurcation

0 references

Q3197042

0 references

Q3740666

0 references

Dynamic behavior from bifurcation equations

0 references

Q3973680

0 references

Smooth bifurcation of symmetric periodic solutions of functional differential equations

0 references

A simple global characterization for normal forms of singular vector fields

0 references

Normal forms and Hopf bifurcation for partial differential equations with delays

0 references

Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation

0 references

Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity

0 references

Q3905755

0 references

An Equivariant Degree with Applications to Symmetric Bifurcation Problems. Part 1: Construction of the Degree

0 references

Q4046802

0 references

Singularities and groups in bifurcation theory. Volume II

0 references

Q3940514

0 references

Nonlinear oscillations, dynamical systems, and bifurcations of vector fields

0 references

Q5573610

0 references

Stability and bifurcation in a reaction-diffusion model with nonlocal delay effect

0 references

Zero singularities in a ring network with two delays

0 references

Spatio-temporal patterns of nonlinear oscillations in an excitatory ring network with delay

0 references

Equivariant normal forms for parameterized delay differential equations with applications to bifurcation theory

0 references

Two-parameter bifurcations in a network of two neurons with multiple delays

0 references

Stability of nonlinear waves in a ring of neurons with delays

0 references

Global continuation of nonlinear waves in a ring of neurons

0 references

Pattern formation and continuation in a trineuron ring with delays

0 references

Equivariant Hopf bifurcation for neutral functional differential equations

0 references

Branching patterns of wave trains in the FPU lattice

0 references

Patterns in hierarchical networks of neuronal oscillators with \(\mathbb D_3\times \mathbb Z_3\) symmetry

0 references

Center manifolds theorem for parameterized delay differential equations with applications to zero singularities

0 references

PATTERN FORMATION IN A RING NETWORK WITH DELAY

0 references

Hopf bifurcating periodic orbits in a ring of neurons with delays

0 references

Bifurcation theory of functional differential equations

0 references

Generalized Hopf bifurcation in delay differential equations

0 references

Theory of functional differential equations. 2nd ed

0 references

Introduction to functional differential equations

0 references

Bifurcations of periodic solutions of delay differential equations

0 references

Existence and bifurcation of periodic solutions of high-dimensional delay differential equations

0 references

Invariant manifolds

0 references

Q4743116

0 references

An applicable Hopf bifurcation formula and instability of small periodic solutions of the Field-Noyes model

0 references

Global Hopf bifurcation for differential equations with state-dependent delay

0 references

Global continua of rapidly oscillating periodic solutions of state-dependent delay differential equations

0 references

Spatially nonhomogeneous equilibrium in a reaction-diffusion system with distributed delay

0 references

Center manifold theory for functional differential equations of mixed type

0 references

Q4023415

0 references

Q3923300

0 references

Degree theory for equivariant maps, the general 𝑆¹-action

0 references

Degree Theory for Equivariant Maps. I

0 references

Computation of non-smooth local centre manifolds

0 references

Ordinary differential equations which yield periodic solutions of differential delay equations

0 references

On the nonlinear differential delay equation x'(t) = -f(x(t),x(t-1))

0 references

The stable, center-stable, center, center-unstable, unstable manifolds

0 references

Q4441339

0 references

Q4341808

0 references

Theory and applications of Hopf bifurcations in symmetric functional differential equations

0 references

Q4275324

0 references

Q5179757

0 references

Periodic and Steady-State Mode Interactions Lead to Tori

0 references

Q3311356

0 references

Q3760900

0 references

On Bendixson's criterion

0 references

The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale

0 references

Attractivity and Hopf bifurcation

0 references

Global bifurcation of periodic solutions of some autonomous functional differential equations

0 references

The range of periods of periodic solutions of \(x'(t)=-\alpha f(x(t-1))\)

0 references

A Hopf Global Bifurcation Theorem for Retarded Functional Differential Equations

0 references

Circulant matrices and differential-delay equations

0 references

Q5340295

0 references

On the theory and application of the Hopf-Friedrich Bifurcation theory

0 references

Finding periodic orbits in state-dependent delay differential equations as roots of algebraic equations

0 references

Some Historical Remarks Concerning Degree Theory

0 references

Properties of Center Manifolds

0 references

Hopf bifurcation for functional and functional differential equations with infinite delay

0 references

Hopf bifurcation calculations for functional differential equations

0 references

Hopf bifurcations in a reaction-diffusion population model with delay effect

0 references

Singularities of vector fields

0 references

Normal forms, resonance and bifurcation analysis via the Carleman linearization

0 references

Normal forms for singularities of vector fields

0 references

Q3833289

0 references

Bifurcation from periodic solutions in functional difference equations

0 references

Hopf bifurcation analysis in a delayed Nicholson blowflies equation

0 references

Symmetric functional differential equations and neural networks with memory

0 references

Theory and applications of partial functional differential equations

0 references

A note on periodic solutions of the delay differential equation 𝑥’(𝑡)=-𝑓(𝑥(𝑡-1))

0 references

Identifiers

zbMATH Open document ID

1452.34002

0 references

DOI

10.11948/2015057

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:5121223