Hidden Attractors in Discrete Dynamical Systems

Entropy

Marcin Lawnik¹  Marek Berezowski² 

[1] Department of Mathematics Applications and Methods for Artificial Intelligence, Silesian University of Technology, Kaszubska 23, 44-100 Gliwice, Poland;Faculty of Chemical Engineering and Technology, Cracow University of Technology, ul. Warszawska 24, 30-155 Kraków, Poland;

关键词: chaos;    discrete system;    dynamics;    fractal;    hidden attractor;   

DOI  :  10.3390/e23050616

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown