Dynamics of the Zeraoulia-Sprott map revisited
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Article number | 1650126 |
| Journal / Publication | International Journal of Bifurcation and Chaos |
| Volume | 26 |
| Issue number | 7 |
| Publication status | Published - 30 Jun 2016 |
Link(s)
Abstract
In the paper "Some Open Problems in Chaos Theory and Dynamics" by Zeraoulia and Sprott, the two-dimensional map (x,y) →(-ax(1 + y2)-1,x + by) was considered and the problem on the analytical study of the boundedness of its attractors was formulated. In the present paper, the boundedness of its attractors is studied, the corresponding analytical estimation of absorbing set is obtained, and thus an answer to the problem is given.
Research Area(s)
- Chaotic map, discrete-time dynamical system, global attractor, localization
Citation Format(s)
Dynamics of the Zeraoulia-Sprott map revisited. / Chen, Guanrong; Kudryashova, Elena V.; Kuznetsov, Nikolay V.; Leonov, Gennady A.
In: International Journal of Bifurcation and Chaos, Vol. 26, No. 7, 1650126, 30.06.2016.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
