Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-18T03:05:26.256Z Has data issue: false hasContentIssue false
  • English
  • Français

Periodic motions in the Fermi—Ulam model

Published online by Cambridge University Press:  12 November 2008

Mei-Yue Jiang
Mei-Yue Jiang
Affiliation:
LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, People's Republic of China ([email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

We consider the periodic solutions of the equation

satisfying −1 ≤ x ≤ 1 ẋ(t−) = −ẋ(t+) if x(t) = ±1, where f is a continuous function, periodic in t. A sequence of periodic solutions is obtained via the variational method.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 138 , Issue 6 , December 2008 , pp. 1235 - 1259
Copyright
Copyright © Royal Society of Edinburgh 2008

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)