Authors propose and apply a methodology of investigation of multiplicity of heat regimes in a chemically reacting inhomogeneous medium with convective processes. The methodology consists of several connected steps, which make it possible to simplify the investigation considerably. Multiparameter spaces are explored using singularity theory, realized in a computer software. An actual problem of multiplicity of heat regimes in a shock layer of a space probe in the Martian atmosphere is an example of the methodology application in the article. Heat-physical characteristics of the shock layer vary themselves in domains of their preset indeterminacy while searching and investigating the regimes multiplicity. (C) 2016 Elsevier Ltd. All rights reserved.