Stability and multiple bifurcations of a damped harmonic oscillator with delayed feedback near zero eigenvalue singularity

DOI10.1063/1.3013195zbMath1309.34063OpenAlexW2059546211WikidataQ46175054 ScholiaQ46175054MaRDI QIDQ5246342

Yongli Song, Tonghua Zhang, Moses O. Tadé

Publication date: 21 April 2015

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/3d218bbec721e54a5416c58494eaa6955229ca6a

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (4)

Bogdanov-Takens bifurcation in an oscillator with positive damping and multiple delays ⋮ Multiple stability switches and Hopf bifurcation in a damped harmonic oscillator with delayed feedback ⋮ Hopf bifurcation and multiple periodic solutions in a damped harmonic oscillator with delayed feedback ⋮ Bogdanov-Takens bifurcation in an oscillator with negative damping and delayed position feedback

Cites Work

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• Complex dynamics in metal cutting
• Complex dynamics and multistability in a damped harmonic oscillator with delayed negative feedback
• Stability Criteria for Second-Order Dynamical Systems With Time Lag

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