# American Institute of Mathematical Sciences

December  2019, 14(4): 759-769. doi: 10.3934/nhm.2019030

## Remarks on the Schrödinger-Lohe model

 Department of Mathematics, Chung-Ang University, Seoul 156-756, Republic of Korea

* Corresponding author: Hyungjin Huh

Received  October 2018 Revised  July 2019 Published  October 2019

Fund Project: This research was supported by LG Yonam Foundation (of Korea) and Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education (2017R1D1A1B03028308)

We study the Schrödinger-Lohe model. Making use of the principal fundamental matrix $Y$ of linear ODEs with variable coefficients, the coupled nonlinear Schrödinger-Lohe system is transformed into the decoupled linear Schrödinger equations. The boundedness of $Y$ is shown for the case of complete synchronization. We also study the cases where the principal fundamental matrices can be derived explicitly.

Citation: Hyungjin Huh. Remarks on the Schrödinger-Lohe model. Networks & Heterogeneous Media, 2019, 14 (4) : 759-769. doi: 10.3934/nhm.2019030
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