Stability, Chaos, and Bifurcation Analysis of a Discrete Chemical System
Open Access
- 25 September 2022
- journal article
- research article
- Published by Hindawi Limited in Complexity
- Vol. 2022, 1-14
- https://doi.org/10.1155/2022/6921934
Abstract
The local dynamics, chaos, and bifurcations of a discrete Brusselator system are investigated. It is shown that a discrete Brusselator system has an interior fixed point if . Then, by linear stability theory, local dynamical characteristics are explored at interior fixed point . Furthermore, for the discrete Brusselator system, the existence of periodic points is investigated. The existence of bifurcations around an interior fixed point is also investigated and proved that the discrete Brusselator model undergoes hopf and flip bifurcations if and , respectively. The next feedback control method is utilized to stabilize the chaos that exists in the discrete Brusselator system. Finally, obtained results are verified numerically.This publication has 27 references indexed in Scilit:
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