Bifurcation of periodic solutions with large periods for a delay differential equation
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Publication:661091
DOI10.1007/s10231-005-0170-8zbMath1232.34099OpenAlexW2023783338WikidataQ115385096 ScholiaQ115385096MaRDI QIDQ661091
Publication date: 18 February 2012
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10231-005-0170-8
Periodic solutions to functional-differential equations (34K13) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Bifurcation theory of functional-differential equations (34K18)
Related Items (7)
Linearized stability for semiflows generated by a class of neutral equations, with applications to state-dependent delays ⋮ Saddle-node bifurcation of periodic orbits for a delay differential equation ⋮ On a differential equation with state-dependent delay. A center-unstable manifold connecting an equilibrium and a periodic orbit ⋮ More on linearized stability for neutral equations with state-dependent delays ⋮ Global stability of a price model with multiple delays ⋮ Global stability for price models with delay ⋮ Nonlinear effects of instantaneous and delayed state dependence in a delayed feedback loop
Cites Work
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- On a model of a currency exchange rate -- local stability and periodic solutions
- Delay equations. Functional-, complex-, and nonlinear analysis
- Systems of differential delay equations: Floquet multipliers and discrete Lyapunov functions
- The Poincaré-Bendixson theorem for monotone cyclic feedback systems with delay
- Convergence to square waves for a price model with delay
- An invariant manifold of slowly oscillating solutions for
- 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
- Elements of applied bifurcation theory
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