Boundedness and stability for the damped and forced single well Duffing equation

DOI10.3934/dcds.2013.33.211zbMath1269.34042OpenAlexW2314481664MaRDI QIDQ1943268

Cyrine Fitouri, Alain Haraux

Publication date: 19 March 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2013.33.211

zbMATH Keywords

stabilityboundednessDuffing equation

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Growth and boundedness of solutions to ordinary differential equations (34C11) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (11)

Sharp estimates of bounded solutions to some semilinear second order dissipative equations ⋮ An infinite dimensional Duffing-like evolution equation with linear dissipation and an asymptotically small source term ⋮ Asymptotic finite-dimensional approximations for a class of extensible elastic systems ⋮ Small perturbations for a Duffing-like evolution equation involving non-commuting operators ⋮ Periodic travelling waves of forced FPU lattices ⋮ Long-time dynamics of a hinged-free plate driven by a nonconservative force ⋮ Sharp ultimate velocity bounds for the general solution of some linear second order evolution equation with damping and bounded forcing ⋮ A sharp stability criterion for single well Duffing and Duffing-like equations ⋮ Stability analysis in some strongly prestressed rectangular plates ⋮ Monotonicity of the period function and chaotic dynamics in a class of singular ODEs ⋮ Periodic Solutions and Torsional Instability in a Nonlinear Nonlocal Plate Equation

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