The Poincaré-Bendixson theorem for a class of delay equations with state-dependent delay and monotonic feedback
From MaRDI portal
Publication:2423233
DOI10.1016/j.jde.2018.08.012zbMath1420.34088OpenAlexW2888577420MaRDI QIDQ2423233
Publication date: 21 June 2019
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2018.08.012
Periodic solutions to functional-differential equations (34K13) General theory of functional-differential equations (34K05)
Related Items (6)
Controlling Mackey–Glass chaos ⋮ A periodic solution with non-simple oscillation for an equation with state-dependent delay and strictly monotonic negative feedback ⋮ Solution manifolds which are almost graphs ⋮ Solutions of mixed-type functional differential equations with state-dependence ⋮ Nonlinear effects of instantaneous and delayed state dependence in a delayed feedback loop ⋮ Positive solutions of iterative functional differential equations and application to mixed-type functional differential equations
Cites Work
- Unnamed Item
- Unnamed Item
- Chaotic behavior of a class of nonlinear differential delay equations
- Morse decompositions for delay-differential equations
- Boundary layer phenomena for differential-delay equations with state- dependent time lags. I
- The solution manifold and \(C^{1}\)-smoothness for differential equations with state-dependent delay.
- The Poincaré-Bendixson theorem for monotone cyclic feedback systems with delay
- A periodic solution of a differential equation with state-dependent delay
- Chaotic behaviour of nonlinear differential-delay equations
- The 2-dimensional attractor of 𝑥’(𝑡)=-𝜇𝑥(𝑡)+𝑓(𝑥(𝑡-1))
- On the Stability of a Periodic Solution of a Differential Delay Equation
- The two-dimensional attractor of a differential equation with state-dependent delay
This page was built for publication: The Poincaré-Bendixson theorem for a class of delay equations with state-dependent delay and monotonic feedback