International Journal on Applied Physics and Engineering
E-ISSN: 2945-0489
Volume 3, 2024
On the Stability of the Mixing Flow Dynamical System Perturbed with a Logistic Term
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Abstract: This paper continues some recent work in a powerful mathematical domain, with applications in connected scientific fields, namely the stability of dynamical systems. In fluid mechanics, stabilizing a dynamical system is a challenging task and it can be done by various ways.
Stabilizing a dynamical system could be often easier if we approach controllable systems, because in this form, there can be imposed some bounds on its behavior, by studying the improvement of the operators that describe the system.
In this paper, the mixing flows dynamical systems are taken into account, more exactly the kinematics of mixing flows. The stability analysis of the mixing flow is taken into account, in the case of perturbation with a logistic term. The results can be extended to some other versions of the model.
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Keywords: Kinematics of mixing, Dynamical systems in control, Lyapunov stability, Lyapunov function, Computational methods, Algebraic methods
Pages: 11-16
DOI: 10.37394/232030.2024.3.2