Presence of Dual Structure in Galaxy Clusters from CfA2 Redshift Survey which Reveals High-Energy -Associations on Fermi/LAT 12-Year Point Source Catalog 4FGL DR3

The presence of dual structure in 13 clusters of galaxies from CfA2 Redshift Survey is discussed. The spatial distributions of galaxies and ones on absolute magnitude, luminosity, angular velocity and absolute magnitude, velocity and distance for cluster center reveal two areas for clusters nos. 88, 1101, 1046, 142, 933, 1242, 1652, 107, 150, 316, 317, 961, 977. The occurrence of such structure allows concluding two alternatives. In the first one dark matter presence inside cluster or their nearest neighborhoods in configuration similar to Zeldovich pancake. The second case is gravitational lensing on compact object or dark matter blob located between galaxy cluster and observer. But now several evidences against gravitational lensing were found. Firstly, the studying of Summary of Multiply Imaged Systems within CfA-Arizona Space Telescope LEns Survey of gravitational lenses gives minimum lens redshift and maximum distance between images arcsec. These values are in contradiction with parameters of analyzable clusters of galaxies. Maximum redshift of these clusters is 0.032, and maximum distances between galaxies reach several degrees. Secondly, the parts of dual structure of systems being studied contain sufficiently different number of spiral galaxies, but types of objects on images due lens should be similar. Then we have investigated these systems dynamic using Nonlinear Time Series Analysis. We have constructed phase space for such clusters of galaxies using values of redshift, coordinates, magnitude, absolute magnitude and distance to centre. As a timelike variable we supposed the ratio between galaxies’ tangential velocity and its distance to cluster’s centre. According to preliminary results of analysis we have obtained two attractors in the phase spaces of cluster nos. 88 and 142 with basins corresponding to bifurcation points on the analyzable distributions. Such results conclude real dual structure of systems being studied. Also, we have investigated the appearances of systems being analyzed in high-energy gamma bands. It was found that cluster nos. 933, 142, 1046, 1652 and 316 reveal high-energy -associations on Fermi/LAT 12-Year Point Source Catalog 4FGL-DR3 (4FGL J1144.9 1937, 4FGL J0152.2 3714, 4FGL J1230.8 1223, 4FGL J1653.8 3945 and 4FGL J0708.9 4839). Moreover, sources 4FGLJ1144.9 1937, 4FGLJ1230.8 1223 and 4FGL J1653.8 3945 were registered in subTeV energy region by VERITAS. These objects should be jointly observed by ground-based Cherenk