This article is cited in 2 papers

Mathematic Modeling

Study of critical phenomena in the model of electrochemical reactor

N. M. Firstova

The Dept. of Technical Cybernetics, Samara State Aerospace University, Samara, 443001, Russian Federation

Abstract: The model of an electrochemical reactor by method of singular perturbations and numerical methods is studied. The behavior of solutions of system depending on values of parameters is studied, possibility of bifurcation of Andronov–Hopf and the phenomenon of "canard explosion” is considered.

Keywords: singulary perturbed system, relaxation oscillation, Andronov–Hopf bifurcation, phase portrait, canards curves.

UDC: 517.9

Received: 18.11.2013
Revised: 19.12.2013