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Vestnik Chelyabinsk. Gos. Univ., 2009, Issue 11, Pages 37–47 (Mi vchgu77)  

Differential equations

Two-mode branching of ferroelectric phase heterogeneous crystals of singular phase of the sixth order

I. V. Kolesnikova, Yu. I. Sapronov

Voronezh State University

Abstract: A description of the distribution of extremals of Fredholm functionals bifurcation points of the minima of 2-dimensional features of degeneration and the sixth order. The main illustrating example is the task of branching ferroelectric phase heterogeneous crystals. We use a modified the Lyapunov—Schmidt method, equipped with the elements of the theory of singularities of smooth functions.

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Citation: I. V. Kolesnikova, Yu. I. Sapronov, “Two-mode branching of ferroelectric phase heterogeneous crystals of singular phase of the sixth order”, Vestnik Chelyabinsk. Gos. Univ., 2009, no. 11, 37–47

Citation in format AMSBIB
\Bibitem{KolSap09}
\by I.~V.~Kolesnikova, Yu.~I.~Sapronov
\paper Two-mode branching of ferroelectric phase heterogeneous crystals of singular phase of the sixth order
\jour Vestnik Chelyabinsk. Gos. Univ.
\yr 2009
\issue 11
\pages 37--47
\mathnet{http://mi.mathnet.ru/vchgu77}


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  • Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika
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