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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2019-2pp.251-265

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A.A. Azamov and O.S. Akhmedov, "On Existence of a Closed Trajectory in a Three-Dimensional Model of a Brusselator," Mech. Solids. 54 (2), 251-265 (2019)
Year 2019 Volume 54 Number 2 Pages 251-265
DOI 10.3103/S0025654419030038
Title On Existence of a Closed Trajectory in a Three-Dimensional Model of a Brusselator
Author(s) A.A. Azamov (Romanovskiy Institute of Mathematics, Academy of Sciences of Republic of Uzbekistan, Tashkent, Uzbekistan, abdulla.azamov@gmail.com)
O.S. Akhmedov (Romanovskiy Institute of Mathematics, Academy of Sciences of Republic of Uzbekistan, Tashkent, Uzbekistan, odiljon.axmedov@gmail.com)
Abstract A discrete numerical tracking of the trajectories of dynamic systems is applied to demonstrate the existence of the closed trajectory in a 3D model of cyclic reactions that are associated with a Prigozhin brusselator.
Keywords model of brusselator, saturated cycle, closed trajectory, DN-tracking, Poincaré mapping, discrete trajectory, numerical trajectory
Received 25 June 2015
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