Remarks on the Schrödinger-Lohe model | Zendy

Hyungjin Huh | Zendy

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Remarks on the Schrödinger-Lohe model

Author(s) -

Hyungjin Huh

Publication year - 2019

Publication title -

networks and heterogeneous media

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.732

H-Index - 34

eISSN - 1556-181X

pISSN - 1556-1801

DOI - 10.3934/nhm.2019030

Subject(s) - ode , mathematics , schrödinger equation , nonlinear system , schrödinger's cat , variable (mathematics) , matrix (chemical analysis) , principal (computer security) , mathematical physics , mathematical analysis , physics , quantum mechanics , computer science , materials science , composite material , operating system

We study the Schrodinger-Lohe model. Making use of the principal fundamental matrix \begin{document}$ Y $\end{document} of linear ODEs with variable coefficients, the coupled nonlinear Schrodinger-Lohe system is transformed into the decoupled linear Schrodinger equations. The boundedness of \begin{document}$ Y $\end{document} 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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