The dynamic behavior of thermodynamic systems described by a single order parameter and several control parameters is studied in a small neighborhood of ordinary and bifurcation equilibrium values of the system parameters. ...

The previously proposed model for the kinetics of first-order phase transitions (Barsuk et al., 2013) is generalized for r order and m control parameters. Bifurcation and stability analyses of the equilibrium states in ...

Real solutions representation for the cubic equation with real coefficients in a parametric form is given. The dependenceof the solutions on the equation coefficients and the bifurcation conditions for these solutions are ...