RESONANCE CONTROL FOR A FORCED SINGLE-DEGREE-OF-FREEDOM NONLINEAR SYSTEM

DOI10.1142/S0218127404009843zbMath1084.37539OpenAlexW2094369583MaRDI QIDQ4668999

Andrew Y. T. Leung, Jinchen Ji, Guan-Rong Chen

Publication date: 15 April 2005

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

Full work available at URL: https://doi.org/10.1142/s0218127404009843

zbMATH Keywords

saddle-node bifurcationresonancessingularity theorybifurcation controlnonautonomous nonlinear systemnonlinear parametric feedback

Mathematics Subject Classification ID

Feedback control (93B52) Dynamical systems in control (37N35) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Topological dynamics of nonautonomous systems (37B55) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (8)

Adaptive tuning to bifurcation for time-varying nonlinear systems ⋮ Suppression of super-harmonic resonance response using a linear vibration absorber ⋮ Nonlinear oscillations of the Fitzhugh-Nagumo equations under combined external and two-frequency parametric excitations ⋮ Hidden Attractor in a Passive Motion Model of Compass-Gait Robot ⋮ Control of the nonlinear oscillator bifurcation under a superharmonic resonance ⋮ Adaptive control of bifurcation modes in nonautonomous nonlinear systems ⋮ Nonlinear asymptotic analysis of a system of two free coupled oscillators with cubic nonlinearities ⋮ Saddle-node bifurcations on approximate inertial manifolds for a driven wave equation

Cites Work

• Bifurcation control of a parametrically excited Duffing system
• Simultaneous Hedging of Regulatory and Accounting CVA
• On Bifurcation Control in Time Delay Feedback Systems
• Local bifurcation control of a forced single-degree-of-freedom nonlinear system: Saddle-node bifurcation
• Unnamed Item

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