On the Dynamics of the q-Deformed Gaussian Map

被引：7
作者：
Canovas, J. [1 ]
Munoz-Guillermo, M. [1 ]
机构：
[1] Univ Politecn Cartagena, Dept Matemat Aplicada & Estadist, C Dr Fleming S-N, Murcia 30202, Spain
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2020年 / 30卷 / 08期
关键词：
Gaussian map; q-deformation; topological entropy; ATTRACTORS; INTERVAL; ENTROPY;
D O I：
10.1142/S0218127420300219
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Following the scheme inspired by Tsallis [Jagannathan & Sudeshna, 2005; Patidar & Sud, 2009], we study the Gaussian map and its q-deformed version. We compute the topological entropies of the discrete dynamical systems which are obtained for both maps, the original Gaussian map and its q-modification. In particular, we are able to obtain the parametric region in which the topological entropy is positive. The analysis of the sign of Schwarzian derivative and the topological entropy allow us a deeper analysis of the dynamics. We also highlight the coexistence of attractors, even if it is possible to determine a wide range of parameters in which one of them is a chaotic attractor.
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页数：13
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