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Dynamics of the polymer composite model
Amen, Azad I.
2026
Abstract
In this paper, the complex dynamics of the cross-linking reaction of the polymer composite model, are analyzed and studied. This model is described by five-dimensional nonlinear ordinary differential equations with three real parameters. The nature of the response of collagen with cross-linking chemicals is detailed in this model, and it is very essential not only in leather technology but also in the nutritional business. We present a thorough analysis of their invariant algebraic hypersurfaces of this model. The flow on invariant sets for the model is investigated. Using the invariant algebraic hypersurfaces, we verify the non-existence of periodic solutions and investigate their dynamics in these invariant sets. It is established that the five-dimensional model, depending on the parameters, is completely integrable with four independent first integrals.
Publisher
EUT Edizioni Università di Trieste
Source
Azad I. Amen, "Dynamics of the polymer composite model" in: "Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol. 58 (2026)", EUT Edizioni Università di Trieste, Trieste, 2026, pp.
Languages
en
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
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