Astérisque, n° 405. Resonances for homoclinic trapped sets

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Format : Broché
Nb de pages : 314 pages
Poids : 400 g
Dimensions : 18cm X 24cm
Date de parution :
ISBN : 978-2-85629-894-7
EAN : 9782856298947

Resonances for homoclinic trapped sets

chez Société mathématique de France

Serie : Astérisque. Vol 405

Paru le | Broché 314 pages

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Quatrième de couverture

We study semiclassical resonances generated by homoclinic trapped sets. First, under some general assumptions, we prove that there is no resonance in a region below the real axis. Then, we obtain a quantization rule and the asymptotic expansion of the resonances when there is a finite number of homoclinic trajectories. The same kind of results is proved for homoclinic sets of maximal dimension. Next, we generalize to the case of homoclinic/heteroclinic trajectories and we study the three bump case. In all these settings, the resonances may either accumulate on curves or form clouds. We also describe the corresponding resonant states.