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