Lagrange stability for asymmetric Duffing equations

DOI10.1016/S0362-546X(99)00170-4zbMath0970.37045OpenAlexW2062728263MaRDI QIDQ1590097

Xiao Ping Yuan

Publication date: 19 April 2001

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(99)00170-4

zbMATH Keywords

Duffing equationLagrange stabilityMoser's twist theorem

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Growth and boundedness of solutions to ordinary differential equations (34C11) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)

Related Items (5)

Ground state periodic solutions for Duffing equations with superlinear nonlinearities ⋮ Boundedness of solutions for asymmetric Duffing equations ⋮ Quasi-periodic solutions in nonlinear asymmetric oscillations ⋮ Coexistence of unbounded solutions and periodic solutions of Liénard equations with asymmetric nonlinearities at resonance ⋮ The stability of the equilibrium of the damped oscillator with damping changing sign

Cites Work

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• Stable and Random Motions in Dynamical Systems
• Invariant curves and time-dependent potentials
• A case of boundedness in Littlewood's problem on oscillatory differential equations
• Asymmetric Oscillators and Twist Mappings
• Unbounded Solutions of an Equation ÿ+g{y) =p(t) , with p(t) Periodic and Bounded, and g(y) /y → ∞ as y →±∞

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