On the stability of the zero solution of a second-order differential equation under a periodic perturbation of the center
DOI10.3103/S106345411801003XzbMATH Open1401.34068OpenAlexW2799976905WikidataQ115223370 ScholiaQ115223370MaRDI QIDQ1792125
Publication date: 11 October 2018
Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3103/s106345411801003x
Forced motions for nonlinear problems in mechanics (70K40) Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Averaging method for ordinary differential equations (34C29)
Cites Work
- Periodic perturbations of a nonlinear oscillator
- Stability and bifurcation of invariant tori from an equilibrium state of an essentially nonlinear second-order differential equation
- Stability and bifurcation for periodic perturbations of the equilibrium of an oscillator with infinite or infinitesimal oscillation frequency
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