Synchronization inverse amplitude

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. 

L. Recke and S. Yanchuk. On inverse amplitude synchronized modulated wave solutions in time reversable systems, in preparation. 

A pulse scheme recovering the zero-quantum Hamiltonian was proposed by Baldus and Meier.142 It is weakly dependent on spectral parameters and a faithful measure of internuclear distances. This sequence is based on the former rotor-synchronized R/L-driven polarization transfer experiments.143,144 It uses the LG or FS-LG, which is used to decouple the high-7 spins, and combined MAS and RF irradiation of low-7 spins to decouple the hetero-nuclear dipolar interactions. With phase-inversion and amplitude attenuation in the rotating frame and refocusing pulses in the laboratory frame part of the pulse sequence, a zero-quantum average Hamiltonian can be obtained with optimum chemical-shift/offset independence. 

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