Dynamics of deformed Henon-like map

被引：1
|
作者：
Gupta, Divya [1 ]
Chandramouli, V. V. M. S. [1 ]
机构：
[1] Indian Inst Technol Jodhpur, Dept Math, Jodhpur 342037, Rajasthan, India
来源：
CHAOS SOLITONS & FRACTALS | 2022年 / 155卷
关键词：
Deformed Henon-like map; Superstable periodic points; Heteroclinic bifurcation; Renormalization; Cantor attractor; RENORMALIZATION; UNIVERSALITY; ATTRACTORS; FAMILY;
D O I：
10.1016/j.chaos.2021.111760
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A B S T R A C T In this paper, we introduce q-deformation on Henon-like maps and discuss various dynamical properties of newly deformed system, named as q-Henon map. We describe a method for the construction of superstable periodic cycles and their accumulation on the parameter space for different deformed parameters. At the accumulation, the q-Henon map undergoes transition from periodic to chaotic behaviour. For restricted range of q , we achieve chaos prior to the canonical Henon-like maps. This leads to the paradoxical behaviour. Further, we use the concept of heteroclinic web to discuss the heteroclinic bifurcation and the Cantor attractor of infinitely renormalizable q-Henon maps. Finally, we show that the basin of attraction of q-Henon maps do not have an escaping region for a particular set of deformed parameters.(c) 2021 Elsevier Ltd. All rights reserved.
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页数：11
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