We recognize a quasi-recurrence with duration of 3 to 4 Carrington rotations period (3-4 CRP) in changes of amplitudes of the 27-day variation of galactic cosmic rays (GCR) intensity, solar activity (SA) and solar wind (SW) parameters, as well. We attribute this phenomenon to the presence of a spatial topological structure (STS) of the solar magnetic field. STS is created by α-ω effect in the inner solar atmosphere, from photosphere to lower corona. STS exists due to the asymmetry of solar dynamo and solar differential rotation. Studying this phenomenon by the aid of spectral analysis methods we found an existence of the quasi-periodicities with the duration shorter than, and longer than the 3-4 CRP. This 3-4 CRP quasi-periodicity mode corresponds to the extreme interval Δt of differential rotation periods, Δt = 35 days -25 days (from poles to equator of the Sun, respectively). We assume also that the process like to α-ω appears in time intervals corresponding to the transitional differential rotation periods, as well, e.g. Δt1 = 26 days -25 days, Δt2 = 27 days - 25 days, and so forth, to Δt = 35 days -25 days. We assume that extensive range of quasi- periodicities of GCR intensity, SW and SA parameters can be related to the combined influence of turbulent solar dynamo and solar differential rotation. Thus, STS should be very complex pattern containing a broad modes of oscillations responsible for various types of quasi-periodicities. So, we believe that it is possible to find an evidence that any alternation: periodical or non-periodical in GCR intensity and in parameters of solar activity and solar wind is strongly related with temporal changes of the various scales of STS.