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Govorukhin V. N. Bifurcations of one-parameter families of steady state regimes in model of a filtrational convection. Izvestiya VUZ. Applied Nonlinear Dynamics, 2012, vol. 20, iss. 6, pp. 3-14. DOI: 10.18500/0869-6632-2012-20-6-3-14

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Bifurcations of one-parameter families of steady state regimes in model of a filtrational convection

Govorukhin V. N., Southern Federal University

Results of numerical investigation of bifurcations of one-parameter families of steady state regimes in a planar filtrational convection problem are presented. Galerkin’s method is applied for approximation of partial differential equations. As a result of the cosymmetry existence there are curves of equilibria with the hidden parameter. The algorithm of calculation of such curves is described. This algorithm can be applied to analyze systems with nonisolated sets of equilibria. The following bifurcations of equilibria curves are found: emergence of family of equilibriums on already existing family, subdivision of family of equilibria, emergence of family of equilibria «from air», crossing of families of equilibriums and existence of the composite equilibria sets.

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