Forced phase-locked response of a nonlinear system with time delay after Hopf bifurcation

DOI10.1016/j.chaos.2004.11.057zbMath1092.37010OpenAlexW2083066719MaRDI QIDQ2483636

Yanyan Li

Publication date: 25 July 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.11.057

zbMATH Keywords

stabilitymethod of multiple scalesreductionresonancechaotic motionsdelay-differential equationperiodic motionsquasiperiodic motionsnonlinear nonautonomous systemHopf bifurcating periodic solutions

Mathematics Subject Classification ID

Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Periodic solutions to functional-differential equations (34K13) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Control/observation systems governed by ordinary differential equations (93C15) Bifurcation theory of functional-differential equations (34K18) Topological dynamics of nonautonomous systems (37B55)

Related Items (3)

Reduced dynamics for delayed systems with harmonic or stochastic forcing ⋮ Stochastic stability of Duffing-Mathieu system with delayed feedback control under white noise excitation ⋮ Analysis for a special first order characteristic equation with delay dependent parameters

Cites Work

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