An energy analysis of the local dynamics of a delayed oscillator near a Hopf bifurcation

DOI10.1007/s11071-006-9020-5zbMath1170.70362OpenAlexW2070999752MaRDI QIDQ840234

N. E. Zubov

Publication date: 11 September 2009

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-006-9020-5

zbMATH Keywords

stabilitytime delayHopf bifurcationself-excitationenergy analysis

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Averaging of perturbations for nonlinear problems in mechanics (70K65)

Related Items (7)

Stability, bifurcation and chaos of a delayed oscillator with negative damping and delayed feedback control ⋮ Singular perturbation methods for nonlinear dynamic systems with time delays ⋮ Analytical approximations for the periodic motion of the Duffing system with delayed feedback ⋮ LOCAL AND GLOBAL HOPF BIFURCATION IN A TWO-NEURON NETWORK WITH MULTIPLE DELAYS ⋮ Bifurcating periodic solution for a class of first-order nonlinear delay differential equation after Hopf bifurcation ⋮ Bifurcation of the periodic motion in nonlinear delayed oscillators ⋮ Stability and Hopf bifurcation of a two-dimensional supersonic airfoil with a time-delayed feedback control surface

Cites Work

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• Modelling nonlinear regenerative effects in metal cutting
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• AN ENERGY ANALYSIS OF NONLINEAR OSCILLATORS WITH TIME-DELAYED COUPLING
• Complex dynamics and multistability in a damped harmonic oscillator with delayed negative feedback
• GLOBAL DYNAMICS OF A DUFFING OSCILLATOR WITH DELAYED DISPLACEMENT FEEDBACK
• HOPF BIFURCATION OF TIME-DELAY LIENARD EQUATIONS

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