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Thermodynamics. Energetics (15) |
Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis (243) |
SM ISO690:2012 BARSUK, Alexander A., PALADI, Florentin. Parametric representation and bifurcation analysis of the cubic equation solutions with application to the phase transitions. In: Studia Universitatis Moldaviae (Seria Ştiinţe Exacte şi Economice), 2019, nr. 2(122), pp. 3-6. ISSN 1857-2073. |
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Studia Universitatis Moldaviae (Seria Ştiinţe Exacte şi Economice) | ||||||
Numărul 2(122) / 2019 / ISSN 1857-2073 /ISSNe 2345-1033 | ||||||
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CZU: 536.76:517.957 | ||||||
Pag. 3-6 | ||||||
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Rezumat | ||||||
Real solutions representation for the cubic equation with real coefficients in a parametric form is given. The dependence of the solutions on the equation coefficients and the bifurcation conditions for these solutions are studied. In the parametric space regions with one and three real solutions are considered. Using parametric representations of the cubic equation solutions, the stability and bifurcation conditions of the equilibrium states for the thermodynamic systems described by the Landau-type kinetic potential are analyzed. |
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Cuvinte-cheie Phase transitions, Metastable state, bifurcation analysis, tranziţii de fază, stare metastabilă, analiză bifurcațională |
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