On a class of damped vibration problems with obstacles and without direct variational structures

DOI10.1063/1.2918143zbMath1152.81634OpenAlexW2032651887MaRDI QIDQ5504921

Xian Wu

Publication date: 23 January 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2918143

zbMATH Keywords

damped vibration problemsexistence of a series of periodic bouncing solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42)

Related Items (2)

Periodic impact behavior of a class of Hamiltonian oscillators with obstacles ⋮ Existence and multiplicity of solutions for a class of forced vibration problems with obstacles

Cites Work

• Variational methods for non-differentiable functionals and their applications to partial differential equations
• Chaotic, regular and unbounded behaviour in the elastic impact oscillator
• Invariant tori in Hamiltonian systems with impacts
• Periodic motions in impact oscillators with perfectly elastic bounces
• Intermittency in impact oscillators close to resonance
• Periodic solutions of second order differential equations with an obstacle

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