A Global Bifurcation Analysis of the Subcritical Hopf Normal Form Subject to Pyragas Time-Delayed Feedback Control

DOI10.1137/130949804zbMath1323.37034OpenAlexW2048043009MaRDI QIDQ2940744

A. S. Purewal, Bernd Krauskopf, Claire M. Postlethwaite

Publication date: 20 January 2015

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/2d6077d5a6dcb5cb39f9e8a2141c88962efc63b6

zbMATH Keywords

Hopf bifurcation delay differential equation feedback control bifurcation analysis

Mathematics Subject Classification ID

Feedback control (93B52) 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 (9)

Existence of finite time blow-up solutions in a normal form of the subcritical Hopf bifurcation with time-delayed feedback for small initial functions ⋮ Dynamic analysis of discrete-time, continuous-time and delayed feedback jerky equations ⋮ Characteristic matrix functions for delay differential equations with symmetry ⋮ Resonance Phenomena in a Scalar Delay Differential Equation with Two State-Dependent Delays ⋮ Equivariant Pyragas Control of Discrete Waves ⋮ Hopf bifurcation control for a class of delay differential systems with discrete-time delayed feedback controller ⋮ Stabilizing unstable periodic orbits with delayed feedback control in act-and-wait fashion ⋮ A degenerate Hopf bifurcation in retarded functional differential equations, and applications to endemic bubbles ⋮ Bifurcation analysis of systems with delays: methods and their use in applications

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