Remarks on the Schrodinger-Lohe model

510;

자연과학대학 수리과학부 ;

University:서울대학교 대학원

关键词: 510;   

Others  :  http://s-space.snu.ac.kr/bitstream/10371/144082/1/000000151711.pdf

美国|英语

来源: Seoul National University Open Repository

【 摘 要 】

In this thesis, we study the asymptotic behavior of the coupled Schrodinger-Lohe system under the same one-body potential with a special communication network between particles. First, we review the previous results on the classical all-to-all Schrodinger-Lohe system and the relation between the Schrodinger-Lohe system and Lotka-Volterra system. Then, we present a large-time behavior of the system by introducing the pairwise correlation function. Furthermore, we provide the existence of equilibria for the finite-dimensional system under the general network framework. Finally, we provide several numerical simulation results supporting our analytical result.