Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2002-03-15
Nonlinear Sciences
Pattern Formation and Solitons
LaTeX2e, 11 pages, 4 figures (17 EPS files)
Scientific paper
10.1143/PTP.108.13
Phase-locked solutions of coupled oscillators are studied with asymmetric coupling strengths or inhomogeneous natural frequencies. The solutions show remarkable profiles of phase lags from the pacemaker corresponding to the ratio of upward and downward coupling strengths. By means of the existence condition of phase-locked solutions, the transition points from phase-locked to phase drift states are estimated. The application of the existence condition to the case of the linear gradient of natural frequency illustrates some scaling properties in the frequency diagrams.
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