Contracting return maps for monotone delayed feedback.

DOI10.3934/dcds.2001.7.259zbMath1034.34086OpenAlexW2050884371MaRDI QIDQ1864094

Hans-Otto Walther

Publication date: 16 March 2003

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2001.7.259

zbMATH Keywords

slowly oscillating periodic solutionsnegative feedbackexistence and stabilityScalar differential delay equations

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Related Items (9)

Attractive Periodic Orbits in Nonlinear Discrete-time Neural Networks with Delayed Feedback ⋮ Existence, Uniqueness, and Stability of Slowly Oscillating Periodic Solutions for Delay Differential Equations with Nonnegativity Constraints ⋮ Exit time asymptotics for small noise stochastic delay differential equations ⋮ Slowly oscillating solutions in a class of second-order discontinuous delayed systems ⋮ Stable phase-locked periodic solutions in a delay differential system. ⋮ Neimark-Sacker bifurcation for periodic delay differential equations ⋮ On the floquet multipliers of periodic solutions to nonlinear functional differential equations ⋮ Stable periodic orbits for the Mackey-Glass equation ⋮ Periodic orbits on discrete dynamical systems

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