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math.AP2012
Dynamics of Klein-Gordon on a compact surface near an homoclinic orbit
Benoît Grébert, Tiphaine Jézéquel, Laurent Thomann
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 pap…
math.AP2012
Beating effects in cubic Schrödinger systems and growth of Sobolev norms
Benoît Grébert, Éric Paturel, Laurent Thomann
We consider a system of coupled cubic Schrödinger equations. We prove that there exists a beating effect, i.e. an energy exchange between different modes. This construction may be…