Geodesic
Local dynamics of two-component singularly perturbed parabolic systems
Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 77 (2016) no. 1, pp. 67-82.

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We consider the local dynamics in a neighbourhood of a stationary state of a two-component system of parabolic equations with periodic boundary conditions. In the critical cases we construct families of special equations–quasinormal forms whose solutions in principle give asymptotic solutions, up to the residual, of the original singularly perturbed system. 
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I. S. Kashchenko; S. A. Kashchenko. Local dynamics of two-component singularly perturbed parabolic systems. Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 77 (2016) no. 1, pp. 67-82. http://geodesic.mathdoc.fr/item/MMO_2016_77_1_a1/

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