TY - JOUR A1 - Goldobin, Denis S. A1 - Pikovskij, Arkadij T1 - Effects of delayed feedback on Kuramoto transition N2 - We develop a weakly nonlinear theory of the Kuramoto transition in an ensemble of globally coupled oscillators in presence of additional time-delayed coupling terms. We show that a linear delayed feedback not only controls the transition point, but effectively changes the nonlinear terms near the transition. A purely nonlinear delayed coupling does not effect the transition point, but can reduce or enhance the amplitude of collective oscillations Y1 - 2006 UR - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/12165 UR - http://www2.yukawa.kyoto-u.ac.jp/~ptpwww/link-supplement.html SN - 0375-9687 ER -