Stability and bifurcation for periodic perturbations of the equilibrium of an oscillator with infinite or infinitesimal oscillation frequency
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Publication:1569773
DOI10.1007/BF02675068zbMath0962.37024MaRDI QIDQ1569773
Publication date: 19 June 2001
Published in: Mathematical Notes (Search for Journal in Brave)
Stability for nonlinear problems in mechanics (70K20) Bifurcations and instability for nonlinear problems in mechanics (70K50) Perturbations of ordinary differential equations (34D10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)
Related Items (8)
Periodic perturbations of a nonlinear oscillator ⋮ Bifurcation of the state of equilibrium of an oscillator with nonlinear restoring force of third order ⋮ On the stability of the zero solution of a differential equation of the second order in a critical case ⋮ Regular and singular periodic perturbations of an oscillator with cubic restoring force ⋮ On the stability of the equilibrium under periodic perturbations of an oscillator with a power-law restoring force with a rational exponent ⋮ Unnamed Item ⋮ Invariant surfaces of periodic systems with conservative cubic first approximation ⋮ On the stability of the zero solution of a second-order differential equation under a periodic perturbation of the center
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