Large amplitude periodic bouncing for impact oscillators with damping

DOI10.1090/S0002-9939-04-07759-7zbMath1077.34045OpenAlexW1677805471MaRDI QIDQ4654132

Qian, Dingbian

Publication date: 1 March 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-04-07759-7

zbMATH Keywords

bouncing periodic solutionmultiple impactimpact oscillator with damping

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Discontinuous ordinary differential equations (34A36) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Related Items (9)

Periodic impact motions at resonance of a particle bouncing on spheres and cylinders ⋮ Periodic bouncing solutions for sublinear impact oscillator ⋮ Periodic impact behavior of a class of Hamiltonian oscillators with obstacles ⋮ Invariant tori for asymptotically linear impact oscillators ⋮ Periodic bouncing solutions for Hill's type sub-linear oscillators with obstacles ⋮ Boundedness of solutions for a class of impact oscillators with time-dependent polynomial potentials ⋮ Impact oscillators of Hill's type with indefinite weight: periodic and chaotic dynamics ⋮ Existence of quasiperiodic solutions and Littlewood's boundedness problem of super-linear impact oscillators ⋮ Existence of quasi-periodic solutions and Littlewood's boundedness problem of sub-linear impact oscillators

Cites Work

• Unnamed Item
• Periodic bouncing for a forced linear spring with obstacle
• Chaotic, regular and unbounded behaviour in the elastic impact oscillator
• Periodic orbits of a collinear restricted three-body problem
• Non-smooth dynamical systems
• Resonance in impact problems.
• Variational and topological methods in the study of nonlinear phenomena. Papers from the international conference, Pisa, Italy, January--February 2000
• Periodic motions in impact oscillators with perfectly elastic bounces

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