TY  - BOOK
AU  - Bony,Jean-Francois
AU  - Fujiie,Setsuro
AU  - Ramond,Thierry
AU  - Zerzeri,Maher
TI  - Resonances for homoclinic trapped sets
T2  - Astérisque,
SN  - 9782856298947
U1  - 510=4 23
PY  - 2018///
CY  - Paris :  
PB  - Societe Mathematique de France
KW  - Schrodinger operator
KW  - Dynamics
KW  - Asymptotes
KW  - Microlocal analysis
N1  - Includes bibliographical references
N2  - 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
ER  -