Dual billiards, twist maps and impact oscillators
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Publication:3841246
DOI10.1088/0951-7715/9/6/002zbMath0907.58036arXivmath/9408216OpenAlexW2002007537MaRDI QIDQ3841246
Publication date: 5 November 1998
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9408216
Related Items (16)
Periodic bouncing solutions for sublinear impact oscillator ⋮ On polynomially integrable planar outer billiards and curves with symmetry property ⋮ Invariant tori for asymptotically linear impact oscillators ⋮ Boundedness of solutions for a class of impact oscillators with time-dependent polynomial potentials ⋮ On the mathematical transport theory in microporous media: the billiard approach ⋮ Subharmonic bouncing solutions for a class of sublinear impact oscillators with indefinite weight ⋮ Survey lecture on billiards ⋮ Existence of quasiperiodic solutions and Littlewood's boundedness problem of super-linear impact oscillators ⋮ Anatole Katok ⋮ The existence of Aubry-Mather sets for the Fermi-Ulam model ⋮ Existence of quasi-periodic solutions and Littlewood's boundedness problem of sub-linear impact oscillators ⋮ Break-up of resonant invariant curves in billiards and dual billiards associated to perturbed circular tables ⋮ Diffusion speed in piecewise smooth billiards ⋮ Outer Billiards with the Dynamics of a Standard Shift on a Finite Number of Invariant Curves ⋮ Dual billiards ⋮ On the global dynamical properties of a Fermi–Ulam model
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