Abstract.

The paper presents an analytical and numerical analysis of the transition to chaos in the model of an autocatalytic chemical process with feedback, which is a three-dimensional system of nonlinear ordinary differential equations. The conditions for the birth of a limit cycle in the system as a result of Andronov-Hopf bifurcation are found. It is shown numerically that the transition to chaos in the system is carried out in full accordance with the universal bifurcation theory of Feigenbaum-Sharkovsky-Magnitskii (FShM) through the subharmonic and initial stage of the homoclinic cascades of bifurcations of stable limit cycles.

Keywords:

autocatalytic reactions, cascades of bifurcations, attractors, chaos.

PP. 49-53.

DOI: 10.14357/20790279190205

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