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In a framework of catastrophe theory we investigate the equilibrium set forthe system of strongly correlated electron gas at the conditions of dHvA effectand show that the discontinuities accompanied the diamagnetic phase transition(DPT) is handled by Riemann-Hugoniot catastrophe. We show that applicability ofthe standard condition for observation of DPT $a\ge$1 where $a$ is thedifferential magnetic susceptibility is valid only in the nearest vicinity oftriple degenerate point corresponding to the center of dHvA period, but forarbitrary value of magnetic field in every period of dHvA oscillations thiscondition is modified in accordance with the bifurcation set of cuspcatastrophe. While at the center of dHvA period the symmetric supercriticalpitchfork bifurcation gives rise to the second order phase transition ontemperature, the deviation of magnetic field from the value corresponding tothe center of dHvA period results in the change of the phase transition orderfrom the second to the first one both on temperature and magnetic field. In theframework of developed theory we obtain good agreement with availableexperimental data.

Phase Bifurcations of Strongly Correlated Electron Gas at the Conditions of dHvA Effect