Estimation of efficiency of production and infrastructure subsystems
Macrosystem dynamics
N.A. Magnitskii Bifurcations and chaos in one model of an autocatalytic chemical process with feedback
System analysis in medicine and biology
N.A. Magnitskii Bifurcations and chaos in one model of an autocatalytic chemical process with feedback


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.


autocatalytic reactions, cascades of bifurcations, attractors, chaos.

PP. 49-53.

DOI: 10.14357/20790279190205


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