Twist Mappings with Non-Periodic Angles

DOI10.1007/978-3-642-32906-7_5zbMath1326.37032OpenAlexW124830483MaRDI QIDQ4913731

Rafael Ortega, Markus Kunze

Publication date: 9 April 2013

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-32906-7_5

zbMATH Keywords

generating functionHamiltonian systemsdifference equationsbouncing solutiontwist mapsexact symplectic mapsping-pong models

Mathematics Subject Classification ID

Difference equations (39A99) Dynamical aspects of twist maps (37E40)

Related Items (10)

Resonant equilibrium configurations in quasi-periodic media: perturbative expansions ⋮ Monotone twist maps and periodic solutions of systems of Duffing type ⋮ Diffusion and chaos in a bouncing ball model ⋮ Rareness of escaping orbits of the quasi-periodic Duffing equations with polynomial potentials ⋮ Some remarks on the periodic motions of a bouncing ball ⋮ Dynamics of the Fermi–Ulam model in an external gravitational field ⋮ Relativistic pendulum and invariant curves ⋮ Rotation numbers and bounded deviations for quasi-periodic monotone recurrence relations ⋮ Functions with average and bounded motions of a forced discontinuous oscillator ⋮ Longtime closeness estimates for bounded and unbounded solutions of non-recurrent Duffing equations with polynomial potentials

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