Global Hopf bifurcation of state-dependent delay differential equations

DOI10.1142/s0218127423500748zbMATH Open1544.34132MaRDI QIDQ6537703

Shangjiang Guo

Publication date: 14 May 2024

Published in: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering (Search for Journal in Brave)

zbMATH Keywords

Hopf bifurcationstate-dependent delay\(\mathbb{S}^1\)-equivariant degree

Mathematics Subject Classification ID

Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Bifurcation theory of functional-differential equations (34K18)

Cites Work

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• Finding periodic orbits in state-dependent delay differential equations as roots of algebraic equations
• Stability and Hopf bifurcation in van der Pol oscillators with state-dependent delayed feedback
• Dynamics of a two-species stage-structured model incorporating state-dependent maturation delays
• Dynamics of a stage-structured population model with a state-dependent delay
• Global Hopf bifurcation for differential equations with state-dependent delay
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Commodity price fluctuations: Price dependent delays and nonlinearities as explanatory factors
• Snakes: oriented families of periodic orbits, their sources, sinks, and continuation
• Boundary layer phenomena for differential-delay equations with state- dependent time lags. I
• \(S^ 1\)-degree and global Hopf bifurcation theory of functional differential equations
• Periodic solutions of some nonlinear autonomous functional differential equations
• On the structure of periodic solutions of differential equations
• Existence of periodic solutions for delay differential equations with state dependent delay
• A mathematical model of growth of population of fish in the larval stage: Density-dependence effects
• Periodic solutions for functional differential equations with multiple state-dependent time lags
• Existence of periodic solutions for a state dependent delay differential equation
• Global continua of periodic solutions to some difference-differential equations of neutral type
• Stable periodic motion of a system with state dependent delay.
• Periodic solutions for differential equations with state-dependent delay and positive feedback
• Boundary layer phenomena for differential-delay equations with state-dependent time lags: III.
• Bifurcation theory of functional differential equations
• Periodic solutions in periodic state-dependent delay equations and population models
• Stability and bifurcation in a state-dependent delayed predator-prey system
• Hopf Bifurcation in a System of Functional Equations Modeling the Spread of an Infectious Disease
• Analysis of a Model Representing Stage-Structured Population Growth with State-Dependent Time Delay
• Slowly oscillating periodic solutions for the Nicholson's blowflies equation with state‐dependent delay
• Slowly oscillating periodic solutions of autonomous state-dependent delay equations
• On the problem of linearization for state-dependent delay differential equations
• Boundary layer phenomena for differential-delay equations with state dependent time lags: II.
• Slowly oscillating periodic solutions for a nonlinear second order differential equation with state-dependent delay
• The two-dimensional attractor of a differential equation with state-dependent delay
• Global continua of rapidly oscillating periodic solutions of state-dependent delay differential equations

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