On Chaotic Attractors Whose Basins of Attraction Coincide With the Whole Space
| dc.contributor.author | Belozyorov, Vasiliy Ye. | en |
| dc.contributor.author | Moroz, Dmytro M. | en |
| dc.contributor.author | Volkova, Svetlana A. | en |
| dc.date.accessioned | 2026-01-28T09:51:14Z | |
| dc.date.issued | 2025 | |
| dc.description | V. Belozyorov: ORCID 0000-0003-2888-8876; D. Moroz: ORCID 0000-0003-2577-3352; S. Volkova: ORCID 0009-0008-1113-3868. | en |
| dc.description.abstract | ENG: A new type of chaotic attractors, whose basin of attraction is the entire phase space, is considered. The main difference between these attractors and the known ones is that any trajectory starting from the basin of attraction first enters a unique transport channel (which is a straight line), and then the trajectory reaches the attractor itself along this channel. For any quadratic dynamic system generating the mentioned attractor, a new concept of a uniquely defined degenerate autonomous quadratic dynamic system with exactly one real double equilibrium point is introduced. It is shown that if the degenerate system exhibits chaotic behavior, then the original (non-degenerate) system also exhibits similar chaotic behavior. | en |
| dc.identifier.citation | Belozyorov V., Moroz M., Volkova S. On Chaotic Attractors Whose Basins of Attraction Coincide With the Whole Space. Journal of Optimization, Differential Equations and Their Applications. Vol. 33, Issue 2., P 84–103. 2025. DOI: http://dx.doi.org/10.15421/142515. | en |
| dc.identifier.doi | http://dx.doi.org/10.15421/142515 | en |
| dc.identifier.issn | 2617–0108 (Print) | en |
| dc.identifier.issn | 2663–6824 (Online) | en |
| dc.identifier.uri | https://model-dnu.dp.ua/index.php/SM/article/view/223 | en |
| dc.identifier.uri | https://crust.ust.edu.ua/handle/123456789/21544 | en |
| dc.language.iso | en | en |
| dc.publisher | Oles Honchar Dnipro National University | en |
| dc.rights | Creative Commons «Attribution» 4.0 International License | en |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | en |
| dc.subject | complexification and realification of dynamical systems | en |
| dc.subject | projection on subspace | en |
| dc.subject | degenerate system | en |
| dc.subject | chaotic attractor | en |
| dc.subject | КІТ | uk_UA |
| dc.subject.classification | TECHNOLOGY | en |
| dc.subject.classification | TECHNOLOGY:: Other technology | en |
| dc.title | On Chaotic Attractors Whose Basins of Attraction Coincide With the Whole Space | en |
| dc.type | Article | en |