In this article, we explored the recurring nature of chaos and bifurcations in Rivlin–Ericksen fluid layer proceeding through porous medium. Subject to heated from below. The Brinkman model is employed as a porous medium. A low-dimensional system, like the Lorenz model, has been constructed using the truncated Galerkin approximation. The fourth-order Runge–Kutta method is adopted to determine the computational solution of a Lorenz-like framework of mathematical equations. For further quantitative assessments, we relied on MATLAB software, and executed plots. We demonstrated an inversely proportional correlation between Darcy number and the scaled Rayleigh number. It indicates that increasing the value of Darcy number causes the chaotic behavior, while increment in elastic parameter promotes an interruption in the commencement of chaotic convection. Our findings showed that elastic parameter and Darcy number influence the transition from stationary to chaotic convection. Comprehending the viscoelastic properties of this fluid is essential for formulating products, streamlining processes, and projecting outcomes.
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