Synchronization identical amplitude

Fig. 12.15 (a) Phase plot for one of the nephrons and (b) temporal variation of the tubular pressures for both nephrons in a pair of coupled chaotically oscillating units, a = 32, T = 16 s, and e = y = 0.2. The figure illustrates the phenomenon of chaotic phase synchronization. By virtue of their mutual coupling the two chaotic oscillators adjust their (average) periods to be identical. The amplitudes, however, vary incoherently and in a chaotic manner [27],... 

We have noticed, that near the period-doubling bifurcation self pulsations appear, which are close to the diagonal in the space (01,02), cf. Fig. 6.9, orbit A. Such pulsations appear when there is no phase shift between the amplitudes oi and 02 of the lasers, cf. Fig. 6.9(A). On the contrary, near the Hopf bifurcation, we observe that self pulsations are close to the antidiagonal . Such a phenomenon was reported in Ref. [20] and called inverse synchronization . In this case, oi is shifted with respect to 02 by a half of the period, cf. Fig. 6.9(C). The orbit B in Fig. 6.9 corresponds to the intermediate regime. In the following two sections we consider these phenomena in more detail and show that the phase propagation parameter ip determines the possibility to observe identical or inverse amplitude synchronization. 

Note, that for. spatially extended systems full synchroiiiiiation leads only to trivial spatial patterns, since phase and amplitude dynamics are then identical across the entire lattice. In the region of phase syiichronination, however, synchronized patch populations are typically separated by phase lags (as seen in Fig. IS.U), which when summed up over the whole lattice can give rise to complex spatio-temporal patteriLs. Most remarkably, in the... 

In principle, this method is a combination of the DC and the NP mode. Square-wave DC pulses of small and constant amplitude (AU = 5-100 mV) during 40-60 msec ate superimposed on the continuously changing DC voltage. The application of the pulses and the measurements of the currents must be correctly synchronized. For every pulse the current is measured twice during precisely defined identical intervals (e.g., 20 msec). The first measurement ends just before the start of the pulse, the second with the end of the pulse. The current of the first measurement is subtracted from that of the second and the resulting derivative AilAU is plotted in function of the DC voltage ramp. The shape of the curve shows rather sharp peaks on a smooth baseline. 

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