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Remarks on the Schrödinger-Lohe model

  • * Corresponding author: Hyungjin Huh

    * Corresponding author: Hyungjin Huh

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)

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  • 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.

    Mathematics Subject Classification: 82C10, 34E10, 35C05.


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