The latest issue of the Advances in Science and Technology Research Journal presents a scientific paper entitled New approaches to the generalized logistic equation using a tool for generating bifurcation graphs, where two new generalizations of the logistic function are used, each of which is described on non-extensive thermodynamics, the q-logistic equation and the geographic logic equation. The paper prepared by: M. Ćmil, D. Strzałka, F. Grabowski, P. Kuraś presents the influence of chaos theory and non-extensive thermodynamics by integrating them with trade and characteristic equations, how the changes of parameters change in the system from deterministic to non-deterministic. In addition, the work uses BifDraw - a Python program for creating bifurcation diagrams using the classical logistic function and its general ones illustrating the variation of the system's action on changes in conditions. Research on the new generalization, which may be interesting in terms of the impact on the thermodynamic state and entropy. The paper describes the dynamic nature of equations and bifurcation diagrams in them, which illustrate the complexity and surprising features of automatic mechanisms. The development of BifDraw is a practical application of theoretical concepts, facilitating the exploration and understanding of logistic equations in chaos theory. The paper not only deepens the understanding of logical equations and chaos theory, but also introduces practical tools for visualizing and analyzing their behavior.
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