Stability of some periodic configurations of discrete Lagrangian equations
We consider a class of periodic solutions of second order difference equations with symplectic structure. We obtain an explicit condition for their stability in terms of the 4-jet of the generating function. This result is applied to the discrete Newton equation, the model of a bouncing ball and the...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2026 |
| País: | España |
| Institución: | Universidad de Oviedo (UNIOVI) |
| Repositorio: | RUO. Repositorio Institucional de la Universidad de Oviedo |
| Idioma: | inglés |
| OAI Identifier: | oai:dnet:ruo_________::8b8a1aa80b80d1966b23bb15f9c081ea |
| Acceso en línea: | https://hdl.handle.net/10651/83284 https://dx.doi.org/10.1016/J.NA.2025.114002 |
| Access Level: | acceso abierto |
| Palabra clave: | Birkhoff normal form Bouncing balls Exact symplectic twist maps Generating function Stability |
| Sumario: | We consider a class of periodic solutions of second order difference equations with symplectic structure. We obtain an explicit condition for their stability in terms of the 4-jet of the generating function. This result is applied to the discrete Newton equation, the model of a bouncing ball and the Fermi–Ulam ping-pong model. |
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