Hostname: page-component-848d4c4894-8bljj Total loading time: 0 Render date: 2024-07-04T03:16:55.550Z Has data issue: false hasContentIssue false
  • English
  • Français

$L^1$ criteria for stability of periodic solutions of a newtonian equation

Published online by Cambridge University Press:  22 February 2006

JINZHI LEI  and
PEDRO J. TORRES
JINZHI LEI
Affiliation:
Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, Beijing 100084, China. e-mail: leijinzhi@tsinghua.org.cn
PEDRO J. TORRES
Affiliation:
Universidad de Granada, Departamento de Matemática Aplicada, 18071 Granada, Spain. e-mail: ptorres@ugr.es
Get access Rights & Permissions [Opens in a new window]

Abstract

We develop new criteria for the stability of a periodic solution of a given newtonian equation based on the $L^1$-norm of the coefficients of the third order approximation, by proving that the twist coefficient is different form zero.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 140 , Issue 2 , March 2006 , pp. 359 - 368
Copyright
2006 Cambridge Philosophical Society

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.)