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• W2059546211 abstract "We investigate the dynamics of a damped harmonic oscillator with delayed feedback near zero eigenvalue singularity. We perform a linearized stability analysis and multiple bifurcations of the zero solution of the system near zero eigenvalue singularity. Taking the time delay as the bifurcation parameter, the presence of steady-state bifurcation, Bogdanov–Takens bifurcation, triple zero, and Hopf-zero singularities is demonstrated. In the case when the system has a simple zero eigenvalue, center manifold reduction and normal form theory are used to investigate the stability and the types of steady-state bifurcation. The stability of the zero solution of the system near the simple zero eigenvalue singularity is completely solved." @default.
• W2059546211 created "2016-06-24" @default.
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• W2059546211 date "2008-11-14" @default.
• W2059546211 modified "2023-09-30" @default.
• W2059546211 title "Stability and multiple bifurcations of a damped harmonic oscillator with delayed feedback near zero eigenvalue singularity" @default.
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• W2059546211 doi "https://doi.org/10.1063/1.3013195" @default.
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