Semi-Analytical Solutions for the Qi-Type Dynamical System
Year: 2024
Type: article
Abstract: The aim of present paper is to obtain approximate semi-analytical solutions for the Qi-type dynamical system, while neglecting its chaotic behaviors. These solutions are derived using the Optimal Auxiliary Functions Method (OAFM). The impact of the system’s physical parameters is also investigated. A special case, involving a constant of motion, is considered for which closed-form solutions are obtained. The dynamical system is reduced to a second-order nonlinear differential equation, which is analytically solved through the OAFM procedure. The influence of initial conditions on the system is explored, specifically regarding the presence or absence of symmetries. An exact parametric solution is obtained for a particular case. A good agreement between the analytical and corresponding numerical results is demonstrated, highlighting the accuracy of the proposed method. A comparative analysis underlines the advantages of the OAFM compared to other analytical methods. These findings have numerous technological applications, such as in nonlinear circuits with three channels that involve adapted physical parameters to ensure effective functioning of electronic circuits, as well as in information storage, encryption, and communication systems.
Source: Symmetry
DOI: 10.3390/sym16121578
Authors: Remus-Daniel Ene, Nicolina Pop, Rodica Badarau
Institution: Politehnica University of Timisoara
Language: English
Subfield: Modeling and Simulation
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,728
OpenAlex ID: W4404722740