FLOW CURVATURE APPLIED TO MODELLING OF CRITICAL PHENOMENA



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Abstract

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.

About the authors

M. O. Balabaev

Samara National Research University

Author for correspondence.
Email: morenov@ssau.ru
ORCID iD: 0000-0001-6761-104X

postgraduate student of the Department of Differential Equations and Control Theory

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