Geodesic
Flow curvature applied to modelling of critical phenomena
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 25 (2019) no. 2, pp. 92-99 Cet article a éte moissonné depuis la source Math-Net.Ru

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Modeling of critical phenomena is a very important problem, which has direct applied application in many branches of science and technology. In this paper we regard a modification of the low curvature method applied to construction of invariant manifolds of autonomous fast-slow dynamic systems. We compared a new method with original ones via finding duck-trajectories and their multidimensional analogues — surfaces with variable stability. Comparison was used a three-dimensional autocatalytic reaction model and a model of the burning problem.
Keywords: differential equations, fast-slow systems, invariant manifolds, critical phenomena, duck-trajectories, various stability, flow curvature, burning problem.
Mots-clés : singular perturbations, autocatalytic reaction 
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M. O. Balabaev. Flow curvature applied to modelling of critical phenomena. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 25 (2019) no. 2, pp. 92-99. http://geodesic.mathdoc.fr/item/VSGU_2019_25_2_a5/

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