https://doi.org/10.1140/epjst/e2020-900252-6
Regular Article
Chaotic driven maps: Non-stationary hyperbolic attractor and hyperchaos
1
Department of Mathematics, Volga State University of Water Transport, 5A, Nesterov str., Nizhny Novgorod 603950, Russia
2
Department of Control Theory, Lobachevsky State University of Nizhny Novgorod, 23, Gagarin Ave., Nizhny Novgorod 603950, Russia
a e-mail: barabash@itmm.unn.ru
Received:
31
October
2019
Received in final form:
19
December
2019
Published online:
26
March
2020
In this paper we study simple examples of non-autonomous maps having different changing in time chaotic attractors. We present the definition of non-stationary hyperbolic attractor of the driven maps. We rigorously prove the existence of non-stationary hyperbolic attractor in 2D driven map and introduce a hyperchaotic attractor for autonomous 3D map of master-slave structure. Our analysis is based on the auxiliary systems approach and the construction of invariant cones.
© EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature, 2020
