Existence of quasiperiodic solutions and Littlewood's boundedness problem of super-linear impact oscillators
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Publication:632875
DOI10.1016/j.amc.2011.01.037zbMath1247.37048OpenAlexW2084879312MaRDI QIDQ632875
Publication date: 28 March 2011
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2011.01.037
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Discontinuous ordinary differential equations (34A36) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)
Related Items
Boundedness of solutions for a class of impact oscillators with time-dependent polynomial potentials ⋮ Existence of quasi-periodic solutions and Littlewood's boundedness problem of sub-linear impact oscillators
Cites Work
- Invariant tori for asymptotically linear impact oscillators
- Quasiperiodic motions in superquadratic time-periodic potentials
- Chaotic, regular and unbounded behaviour in the elastic impact oscillator
- On the application of KAM theory to discontinuous dynamical systems
- Periodic orbits of a collinear restricted three-body problem
- Non-smooth dynamical systems
- Invariant tori in Hamiltonian systems with impacts
- Periodic motions in impact oscillators with perfectly elastic bounces
- Dual billiards, twist maps and impact oscillators
- Large amplitude periodic bouncing for impact oscillators with damping
- Bouncing solutions of an equation with attractive singularity
- Asymmetric Oscillators and Twist Mappings
- Periodic Motions of Linear Impact Oscillators via the Successor Map
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