Hidden attractors in discrete dynamical systems
Authors:
- Marek Berezowski,
- Marcin Lawnik
Abstract
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.
- Record ID
- CUT201ca76b4d154252a301bc29040e8649
- Publication categories
- ;
- Author
- Journal series
- Entropy, ISSN , e-ISSN 1099-4300, Monthly
- Issue year
- 2021
- Vol
- 23
- No
- 5
- Pages
- [1-8]
- Article number
- 616
- Other elements of collation
- wykr.; Bibliografia (na s.) - 7-8; Bibliografia (liczba pozycji) - 34; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 23, Iss. 5, Spec. Iss.
- Substantive notes
- Special Issue: Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-Excited Attractors III
- Keywords in English
- chaos, discrete system, dynamics, fractal, hidden attractor
- DOI
- DOI:10.3390/e23050616 Opening in a new tab
- URL
- https://www.mdpi.com/1099-4300/23/5/616 Opening in a new tab
- Language
- eng (en) English
- License
- Score (nominal)
- 100
- Publication indicators
- = 3
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT201ca76b4d154252a301bc29040e8649/
- URN
urn:pkr-prod:CUT201ca76b4d154252a301bc29040e8649
* presented citation count is obtained through Internet information analysis, and it is close to the number calculated by the Publish or PerishOpening in a new tab system.