Chiba, Hayato; Medvedev, Georgi S.; Mizuhara, Matthew S. Bifurcations and patterns in the Kuramoto model with inertia. (English) Zbl 1523.34038 J. Nonlinear Sci. 33, No. 5, Paper No. 78, 21 p. (2023). Reviewer: Carlo Laing (Auckland) MSC: 34C15 35B32 34D06 34C23 35Q83 PDFBibTeX XMLCite \textit{H. Chiba} et al., J. Nonlinear Sci. 33, No. 5, Paper No. 78, 21 p. (2023; Zbl 1523.34038) Full Text: DOI arXiv
Medvedev, Georgi S.; Mizuhara, Mathew S. Stability of clusters in the second-order Kuramoto model on random graphs. (English) Zbl 1462.82041 J. Stat. Phys. 182, No. 2, Paper No. 30, 23 p. (2021). MSC: 82C22 34C15 35Q83 PDFBibTeX XMLCite \textit{G. S. Medvedev} and \textit{M. S. Mizuhara}, J. Stat. Phys. 182, No. 2, Paper No. 30, 23 p. (2021; Zbl 1462.82041) Full Text: DOI arXiv
Chiba, Hayato; Medvedev, Georgi S. The mean field analysis of the Kuramoto model on graphs. I: The mean field equation and transition point formulas. (English) Zbl 1406.34064 Discrete Contin. Dyn. Syst. 39, No. 1, 131-155 (2019). Reviewer: Carlo Laing (Auckland) MSC: 34C15 47G20 45L05 92B25 34D06 05C80 35F20 PDFBibTeX XMLCite \textit{H. Chiba} and \textit{G. S. Medvedev}, Discrete Contin. Dyn. Syst. 39, No. 1, 131--155 (2019; Zbl 1406.34064) Full Text: DOI arXiv
Kaliuzhnyi-Verbovetskyi, Dmitry; Medvedev, Georgi S. The semilinear heat equation on sparse random graphs. (English) Zbl 1377.34048 SIAM J. Math. Anal. 49, No. 2, 1333-1355 (2017). Reviewer: Andrey Zahariev (Plovdiv) MSC: 34C15 05C90 37L60 45J05 45L05 74A25 92D25 05C80 45K05 PDFBibTeX XMLCite \textit{D. Kaliuzhnyi-Verbovetskyi} and \textit{G. S. Medvedev}, SIAM J. Math. Anal. 49, No. 2, 1333--1355 (2017; Zbl 1377.34048) Full Text: DOI arXiv
Medvedev, Georgi S.; Tang, Xuezhi Synchronization of coupled chaotic maps. (English) Zbl 1364.90063 Physica D 304-305, 42-51 (2015). MSC: 90B10 37E05 37M05 05C90 05C80 PDFBibTeX XMLCite \textit{G. S. Medvedev} and \textit{X. Tang}, Physica D 304--305, 42--51 (2015; Zbl 1364.90063) Full Text: DOI arXiv
Medvedev, Georgi S.; Tang, Xuezhi Stability of twisted states in the Kuramoto model on Cayley and random graphs. (English) Zbl 1337.34042 J. Nonlinear Sci. 25, No. 6, 1169-1208 (2015). Reviewer: Carlo Laing (Auckland) MSC: 34C15 05C90 34D06 37C05 PDFBibTeX XMLCite \textit{G. S. Medvedev} and \textit{X. Tang}, J. Nonlinear Sci. 25, No. 6, 1169--1208 (2015; Zbl 1337.34042) Full Text: DOI arXiv
Medvedev, Georgi S. The nonlinear heat equation on \(W\)-random graphs. (English) Zbl 1293.35333 Arch. Ration. Mech. Anal. 212, No. 3, 781-803 (2014); correction ibid. 231, No. 2, 1305-1308 (2019). MSC: 35Q79 05C80 05C82 PDFBibTeX XMLCite \textit{G. S. Medvedev}, Arch. Ration. Mech. Anal. 212, No. 3, 781--803 (2014; Zbl 1293.35333) Full Text: DOI arXiv
Medvedev, Georgi S. Small-world networks of Kuramoto oscillators. (English) Zbl 1286.34076 Physica D 266, 13-22 (2014). MSC: 34D06 05C80 34B45 05C82 PDFBibTeX XMLCite \textit{G. S. Medvedev}, Physica D 266, 13--22 (2014; Zbl 1286.34076) Full Text: DOI arXiv