Figure 6
From: Winner-take-all in a phase oscillator system with adaptation
Time series of phase differences φ i , i = 1, 2, 3. The graphs show WTA solutions (the first PO is the winner) for four qualitatively different types of dynamics (illustrated in Fig. 5): (a) Q 2, all POs are phase-locked by the CO, (b) LC 3, two POs are phase-locked by the CO, the phase difference for the third PO runs in negative direction, (c) \(L{T}_{3}^{2}\), one PO is the winner, the phase differences of the other two POs run in negative direction, (d), \(L{T}_{2}^{2}\), one PO is the winner, the phase differences of the other two POs run in opposite directions. Initial values in (a–d) are φ i (0) = 0, i = 1, 2, 3, ω 0(0) = 5, a 1(0) = 13, a 2(0) = 9, a 3(0) = 1. The natural frequencies of POs are ω 1 = 5 in (a–d), ω 2 = 5.5, ω 3 = 4.2 in (a), ω 2 = 5.5, ω 3 = 3.5 in (b), ω 2 = 3.5, ω 3 = 3 in (c), and ω 2 = 6.4, ω 3 = 3.5 in (d).
