Dynamics of Klein-Gordon on a compact surface near an homoclinic orbit
type: Dataset
description: We consider the Klein-Gordon equation on a Riemannian surface which is globally well-posed in the energy space. This equation has an homoclinic orbit to the origin, and in this paper we study the dynamics close to it. Using a strategy from Groves-Schneider, we show that there are many solutions which stay close to this homocline during all times. We point out that the solutions we construct are not small.
issued: 2026-05-07T22:30:50.334267
language: en
modified: 2026-05-07T22:30:50.334272
contact point: Organization
  fn: CCSD
keyword: 37k45--35q55--35bxx
keyword: center-manifold
keyword: homoclinic-orbit
keyword: infoeu-reposemanticsarticle
keyword: journal-articles
keyword: klein-gordon-equation
keyword: mathmath-apmathematics-mathanalysis-of-pdes-mathap
keyword: wave-equation
landing page: 1078-0947

Dynamics of Klein-Gordon on a compact surface near an homoclinic orbit
type: Distribution
format: HTML
issued: 2026-05-07T22:30:50.373135
modified: 2026-05-07T22:30:50.321355
access URL: https://hal.science/hal-00752478

test_moissonnage_selune
type: Agent