Local bifurcations in differential equations with state-dependent delay
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Publication:4563848
DOI10.1063/1.5011747zbMath1390.34106arXiv1705.07550OpenAlexW3105434373WikidataQ47590933 ScholiaQ47590933MaRDI QIDQ4563848
Publication date: 4 June 2018
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.07550
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23)
Related Items (8)
Bifurcation Analysis of Bogdanov–Takens Bifurcations in Delay Differential Equations ⋮ The spectrum of delay differential equations with multiple hierarchical large delays ⋮ Switching to Nonhyperbolic Cycles from Codimension Two Bifurcations of Equilibria of Delay Differential Equations ⋮ Pseudospectral Approximation of Hopf Bifurcation for Delay Differential Equations ⋮ The effect of state dependence in a delay differential equation model for the El Niño Southern Oscillation ⋮ Nonlinear effects of instantaneous and delayed state dependence in a delayed feedback loop ⋮ Parameterization Method for State-Dependent Delay Perturbation of an Ordinary Differential Equation ⋮ Bifurcation analysis of systems with delays: methods and their use in applications
Uses Software
Cites Work
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- Local stability analysis of differential equations with state-dependent delay
- Finding periodic orbits in state-dependent delay differential equations as roots of algebraic equations
- Linearized stability in functional differential equations with state-dependent delays
- A note on local center manifolds for differential equations with state-dependent delay.
- A mathematical model of granulopoiesis incorporating the negative feedback dynamics and kinetics of G-CSF/neutrophil binding and internalization
- Smoothness properties of semiflows for differential equations with state-dependent delays
- Criticality of Hopf bifurcation in state-dependent delay model of turning processes
- Differentiability of solutions with respect to the initial data in differential equations with state-dependent delays
- State-dependent delay in regenerative turning processes
- Introduction to functional differential equations
- A local unstable manifold for differential equations with state-dependent delay
- The solution manifold and \(C^{1}\)-smoothness for differential equations with state-dependent delay.
- Stable periodic motion of a system with state dependent delay.
- Delay equations. Functional-, complex-, and nonlinear analysis
- Adaptive modification of the delayed feedback control algorithm with a continuously varying time delay
- On local bifurcations in neural field models with transmission delays
- Attraction property of local center-unstable manifolds for differential equations with state-dependent delay
- Investigating Irregular Behavior in a Model for the El Nin͂o Southern Oscillation with Positive and Negative Delayed Feedback
- Bifurcation analysis of delay-induced resonances of the El-Niño Southern Oscillation
- Electromagnetic two-body problem: recurrent dynamics in the presence of state-dependent delay
- Numerical Normalization Techniques for All Codim 2 Bifurcations of Equilibria in ODE's
- On the problem of linearization for state-dependent delay differential equations
- Delayed Feedback Versus Seasonal Forcing: Resonance Phenomena in an El Nin͂o Southern Oscillation Model
- Resonance Phenomena in a Scalar Delay Differential Equation with Two State-Dependent Delays
- Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL
- Elements of applied bifurcation theory
- Implementing Radau IIA methods for stiff delay differential equations
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