On stability of zero solution of an essentially nonlinear second-order differential equation

DOI10.3103/S1063454117030062zbMath1434.34049WikidataQ115223372 ScholiaQ115223372MaRDI QIDQ2289104

N. V. Trushina, Yuri N. Bibikov, Victor A. Pliss

Publication date: 28 January 2020

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

zbMATH Keywords

stabilityoscillatorperiodic perturbationessentially nonlinear differential equations

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10) Nonautonomous smooth dynamical systems (37C60)

Related Items (2)

Bifurcation of the equilibrium of an oscillator with a velocity-dependent restoring force under periodic perturbations ⋮ Convergence of continuous analogues of numerical methods for solving degenerate optimization problems and systems of nonlinear equations

Cites Work

• On the stability of the equilibrium under periodic perturbations of an oscillator with a power-law restoring force with a rational exponent
• Bifurcation of the state of equilibrium of an oscillator with nonlinear restoring force of third order
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