Berezowski Marek, Lawnik Marcin
Faculty of Chemical Engineering and Technology, Cracow University of Technology, ul. Warszawska 24, 30-155 Kraków, Poland.
Department of Mathematics Applications and Methods for Artificial Intelligence, Silesian University of Technology, Kaszubska 23, 44-100 Gliwice, Poland.
Entropy (Basel). 2021 May 16;23(5):616. doi: 10.3390/e23050616.
Research using chaos theory allows for a better understanding of many phenomena modeled by means of dynamical systems. The appearance of chaos in a given process can lead to very negative effects, e.g., in the construction of bridges or in systems based on chemical reactors. This problem is important, especially when in a given dynamic process there are so-called hidden attractors. In the scientific literature, we can find many works that deal with this issue from both the theoretical and practical points of view. The vast majority of these works concern multidimensional continuous systems. Our work shows these attractors in discrete systems. They can occur in Newton's recursion and in numerical integration.
运用混沌理论进行的研究有助于更好地理解许多由动态系统建模的现象。在特定过程中出现混沌可能会导致非常负面的影响，例如在桥梁建设或基于化学反应器的系统中。这个问题很重要，尤其是当在给定的动态过程中存在所谓的隐藏吸引子时。在科学文献中，我们可以找到许多从理论和实践角度处理这个问题的著作。这些著作绝大多数涉及多维连续系统。我们的工作展示了离散系统中的这些吸引子。它们可能出现在牛顿递归和数值积分中。
