Stability and bifurcation of mixing in the Kuramoto model with inertia
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[1] C. Chou. The Vlasov equations , 1965 .
[2] Georgi S. Medvedev,et al. The Mean Field Equation for the Kuramoto Model on Graph Sequences with Non-Lipschitz Limit , 2017, SIAM J. Math. Anal..
[3] B. Simon. Basic Complex Analysis: A Comprehensive Course in Analysis, Part 2A , 2015 .
[4] Hayato Chiba,et al. A proof of the Kuramoto conjecture for a bifurcation structure of the infinite-dimensional Kuramoto model , 2010, Ergodic Theory and Dynamical Systems.
[5] Georgi S. Medvedev,et al. Small-world networks of Kuramoto oscillators , 2013, 1307.0798.
[6] Pravin Varaiya,et al. Arnold diffusion in the swing equations of a power system , 1984 .
[7] Shin'ichi Oishi,et al. Stability of Synchronized States in One Dimensional Networks of Second Order PLLS , 1997 .
[8] Simona Olmi,et al. Stability and control of power grids with diluted network topology. , 2019, Chaos.
[9] A spectral theory of linear operators on rigged Hilbert spaces under analyticity conditions , 2011, 1107.5858.
[10] Georgi S. Medvedev,et al. The mean field analysis of the kuramoto model on graphs Ⅱ. asymptotic stability of the incoherent state, center manifold reduction, and bifurcations , 2017, Discrete & Continuous Dynamical Systems - A.
[11] A. Lichtenberg,et al. Self-synchronization of coupled oscillators with hysteretic responses , 1997 .
[12] Helge Dietert,et al. Stability and bifurcation for the Kuramoto model , 2014, 1411.3752.
[13] Georgi S. Medvedev,et al. The mean field analysis of the Kuramoto model on graphs Ⅰ. The mean field equation and transition point formulas , 2016, Discrete & Continuous Dynamical Systems - A.
[14] G. Medvedev. The continuum limit of the Kuramoto model on sparse random graphs , 2018, Communications in Mathematical Sciences.