The 2-dimensional attractor of 𝑥’(𝑡)=-𝜇𝑥(𝑡)+𝑓(𝑥(𝑡-1))

From MaRDI portal
Publication:4326219

DOI10.1090/memo/0544zbMath0829.34063OpenAlexW1976525569MaRDI QIDQ4326219

Hans-Otto Walther

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




Related Items (36)

Interplay between reproduction and age selective harvesting delays of a single population non-autonomous systemGlobal asymptotic stability of a class of nonautonomous integro-differential systems and applicationsGlobal dynamics of delay differential equationsOn the global attractivity controversy for a delay model of hematopoiesisThe unstable set of a periodic orbit for delayed positive feedbackDelayed feedback control of a delay equation at Hopf bifurcationContinuation of solutions and studying delay differential equations via rigorous numericsExit time asymptotics for small noise stochastic delay differential equationsStabilized rapid oscillations in a delay equation: feedback control by a small resonant delayGlobal dynamics of a nonlocal population model with age structure in a bounded domain: a non-monotone caseBubbles for a class of delay differential equationsThe Poincaré-Bendixson theorem for a class of delay equations with state-dependent delay and monotonic feedbackMultiple slowly oscillating periodic solutions for $x’(t) = f(x(t-1))$ with negative feedbackAn alternative formulation for a delayed logistic equationBifurcation analysis in a neutral differential equationA Differential Equation with a State-Dependent Queueing DelayOn the basins of attraction for a class of delay differential equations with non-monotone bistable nonlinearitiesGlobal dynamics for a class of non-monotone time-delayed reaction-diffusion equationsChaotic Motion Generated by Delayed Negative Feedback Part II: Construction of NonlinearitiesLarge-amplitude periodic solutions for differential equations with delayed monotone positive feedbackLogistic Equation with Treatment Function and Discrete DelaysBifurcation of periodic solutions with large periods for a delay differential equationGlobal dynamics of a non-local delayed differential equation in the half planeNeimark-Sacker bifurcation for periodic delay differential equationsOn a model of a currency exchange rate -- local stability and periodic solutionsDichotomy results for delay differential equations with negative Schwarzian derivativeChange of the attractor structure for \(\dot x(t) = f(x(t-1)) \) when \(f\) changes from monotone to non-monotone negative feedbackGlobal dynamics of a delay differential equation with spatial non-locality in an unbounded domainStable periodic orbits for the Mackey-Glass equationInstabilities in threshold-diffusion equations with delayPeriodic solutions for an \(N\)-dimensional cyclic feedback system with delayA center manifold for second order semilinear differential equations on the real line and applications to the existence of wave trains for the Gurtin–McCamy equationLevenberg-Marquardt algorithm for Mackey-Glass chaotic time series predictionLocal and global Hopf bifurcation in a scalar delay differential equationErratic solutions of simple delay equationsGlobal 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))