Dynamics of the Zeraoulia-Sprott map revisited
Research output: Research - peer-review › 21_Publication in refereed journal
Related Research Unit(s)
|Journal / Publication||International Journal of Bifurcation and Chaos|
|State||Published - 30 Jun 2016|
|Link to Scopus||https://www.scopus.com/record/display.uri?eid=2-s2.0-84978818272&origin=recordpage|
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.
- Chaotic map, discrete-time dynamical system, global attractor, localization