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The presence of an invisible substance (dark matter) in the universe, not explained in terms of the Standard Model of particle physics, is one of main unsolved problems in modern physics. Some dark matter models (in the axion context) predict the existence of caustics— concentric compaction of dark matter particles, manifested in the form of bumps on the rotation curve. Such a structure may be present in the form of inner caustic rings or outer caustic spheres. In the article Ref. [4] authors work with inner caustic rings and assume that this structure has universality. They analyze a set of 32 galactic rotation curves and rescale each rotation curve to add them together. They hypothesize that caustic rings are located at the same rescaled radii for all galaxies. Here, we test the same hypothesis with an independent set of rotation curves published since then. In Ref. [4] authors work with a sample of 32 rotation curves with the assumption that a rotation curve is a trace of the galactic mass distribution according to the laws of Newtonian dynamics. The sample was taken from Ref. [3], Ref. [2], where these rotation curves were analyzed to verify a modification of Newtonian dynamics (MOND) as an explanation of the "dark matter problem" We take two samples. First sample was taken from SPARC (Ref. [1])): a database of 175 late-type galaxies with Spitzer photometry at 3.6 mu and high–quality HI + Halpha rotation curves. Second sample is a sample of 32 rotation curves described above. For the main test, we selected 146 rotation curves from SPARC which were not present in the sample of Ref. [4]. This hypothesis was tested via data processing method for an independent set of 146 rotation curves. Monte-Carlo simulation was used to represent the probability of the appearance of the physics effect. The results were summarized and analyzed. Special thanks to Sergey Troitskiy for helping and supporting this work.