Instability in Fermi-Ulam `ping-pong' problem
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Publication:4223733
DOI10.1088/0951-7715/11/6/003zbMath0933.34055OpenAlexW2010577958MaRDI QIDQ4223733
Publication date: 29 March 2000
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/d8933e2c81dc805a86d5c3cdce81406136fce582
Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Generic properties, structural stability of dynamical systems (37C20)
Related Items (18)
Global dynamics of the breathing circle billiard ⋮ A piecewise smooth Fermi–Ulam pingpong with potential ⋮ Stability analysis of the breathing circle billiard ⋮ Dynamics of the Fermi–Ulam model in an external gravitational field ⋮ Exponential Fermi acceleration in a switching billiard ⋮ The existence of Aubry-Mather sets for the Fermi-Ulam model ⋮ Splitting of separatrices, scattering maps, and energy growth for a billiard inside a time-dependent symmetric domain close to an ellipse ⋮ Twist Mappings with Non-Periodic Angles ⋮ Exponential attractors in generalized relativistic billiards ⋮ Dynamics of some piecewise smooth Fermi-Ulam models ⋮ A rectangular billiard with moving slits ⋮ Escaping orbits are rare in the quasi-periodic Fermi–Ulam ping-pong ⋮ Complete orbits for twist maps on the plane: the case of small twist ⋮ Escaping orbits are also rare in the almost periodic Fermi-Ulam ping-pong ⋮ Chaotic motion in the breathing circle billiard ⋮ A mechanical counterexample to KAM theory with low regularity ⋮ On the global dynamical properties of a Fermi–Ulam model ⋮ Pinball dynamics: unlimited energy growth in switching Hamiltonian systems
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