The 2-dimensional attractor of 𝑥’(𝑡)=-𝜇𝑥(𝑡)+𝑓(𝑥(𝑡-1))
From MaRDI portal
Publication:4326219
DOI10.1090/memo/0544zbMath0829.34063OpenAlexW1976525569MaRDI QIDQ4326219
Publication date: 11 April 1995
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/memo/0544
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Stability theory of functional-differential equations (34K20) Attractors of solutions to ordinary differential equations (34D45) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)
Related Items (36)
Interplay between reproduction and age selective harvesting delays of a single population non-autonomous system ⋮ Global asymptotic stability of a class of nonautonomous integro-differential systems and applications ⋮ Global dynamics of delay differential equations ⋮ On the global attractivity controversy for a delay model of hematopoiesis ⋮ The unstable set of a periodic orbit for delayed positive feedback ⋮ Delayed feedback control of a delay equation at Hopf bifurcation ⋮ Continuation of solutions and studying delay differential equations via rigorous numerics ⋮ Exit time asymptotics for small noise stochastic delay differential equations ⋮ Stabilized rapid oscillations in a delay equation: feedback control by a small resonant delay ⋮ Global dynamics of a nonlocal population model with age structure in a bounded domain: a non-monotone case ⋮ Bubbles for a class of delay differential equations ⋮ The Poincaré-Bendixson theorem for a class of delay equations with state-dependent delay and monotonic feedback ⋮ Multiple slowly oscillating periodic solutions for $x’(t) = f(x(t-1))$ with negative feedback ⋮ An alternative formulation for a delayed logistic equation ⋮ Bifurcation analysis in a neutral differential equation ⋮ A Differential Equation with a State-Dependent Queueing Delay ⋮ On the basins of attraction for a class of delay differential equations with non-monotone bistable nonlinearities ⋮ Global dynamics for a class of non-monotone time-delayed reaction-diffusion equations ⋮ Chaotic Motion Generated by Delayed Negative Feedback Part II: Construction of Nonlinearities ⋮ Large-amplitude periodic solutions for differential equations with delayed monotone positive feedback ⋮ Logistic Equation with Treatment Function and Discrete Delays ⋮ Bifurcation of periodic solutions with large periods for a delay differential equation ⋮ Global dynamics of a non-local delayed differential equation in the half plane ⋮ Neimark-Sacker bifurcation for periodic delay differential equations ⋮ On a model of a currency exchange rate -- local stability and periodic solutions ⋮ Dichotomy results for delay differential equations with negative Schwarzian derivative ⋮ Change of the attractor structure for \(\dot x(t) = f(x(t-1)) \) when \(f\) changes from monotone to non-monotone negative feedback ⋮ Global dynamics of a delay differential equation with spatial non-locality in an unbounded domain ⋮ Stable periodic orbits for the Mackey-Glass equation ⋮ Instabilities in threshold-diffusion equations with delay ⋮ Periodic solutions for an \(N\)-dimensional cyclic feedback system with delay ⋮ A center manifold for second order semilinear differential equations on the real line and applications to the existence of wave trains for the Gurtin–McCamy equation ⋮ Levenberg-Marquardt algorithm for Mackey-Glass chaotic time series prediction ⋮ Local and global Hopf bifurcation in a scalar delay differential equation ⋮ Erratic solutions of simple delay equations ⋮ Global Attractivity of the Zero Solution for Wright's Equation
This page was built for publication: The 2-dimensional attractor of 𝑥’(𝑡)=-𝜇𝑥(𝑡)+𝑓(𝑥(𝑡-1))