PSEUDO-OSCILLATOR ANALYSIS OF SCALAR NONLINEAR TIME-DELAY SYSTEMS NEAR A HOPF BIFURCATION

DOI10.1142/S0218127407018786zbMath1298.34126OpenAlexW2063534197MaRDI QIDQ3511086

Zaihua Wang, Hai-Yan Hu

Publication date: 4 July 2008

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127407018786

Mathematics Subject Classification ID

Oscillation theory of functional-differential equations (34K11)

Related Items (8)

Residue harmonic balance solution procedure to nonlinear delay differential systems ⋮ An iteration method for calculating the periodic solution of time-delay systems after a Hopf bifurcation ⋮ Hopf bifurcation of the maglev time-delay feedback system via pseudo-oscillator analysis ⋮ Modelling the drugs therapy for HIV infection with discrete-time delay ⋮ LOCAL HOPF BIFURCATION OF COMPLEX NONLINEAR SYSTEMS WITH TIME-DELAY ⋮ Hopf bifurcation of the sunflower equation ⋮ Bifurcation of the periodic motion in nonlinear delayed oscillators ⋮ Stability and Hopf bifurcations of an optoelectronic time-delay feedback system

Uses Software

• DDE-BIFTOOL

Cites Work

• Unnamed Item
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• Oscillation and Chaos in Physiological Control Systems
• BIFURCATION ANALYSIS OF A DELAYED DYNAMIC SYSTEM VIA METHOD OF MULTIPLE SCALES AND SHOOTING TECHNIQUE
• Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL
• Subcritical Hopf bifurcation in the delay equation model for machine tool vibrations

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