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https://dspace.ffh.bg.ac.rs/handle/123456789/178| Title: | Dynamics of an autocatalator model | Authors: | Romanovski, Valery G. Han, Maoan Maćešić, Stevan Tang, Yilei |
Keywords: | autocatalator model;equilibria;Hopf bifurcation;limit cycles | Issue Date: | 1-Dec-2018 | Journal: | Mathematical Methods in the Applied Sciences | Abstract: | We study the dynamics of an autocatalator model, which is described by a 3-dimensional autonomous cubic differential system. We analyze the number and local properties of equilibrium points of the system using methods of the qualitative theory of ordinary differential equations. We also investigate small-amplitude limit cycles bifurcating from an equilibrium state of the system. Some numerical simulations illustrating the obtained theoretical results are presented. |
URI: | https://dspace.ffh.bg.ac.rs/handle/123456789/178 | ISSN: | 0170-4214 | DOI: | 10.1002/mma.4949 |
| Appears in Collections: | Conference paper |
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