Dynamics of deformed Hénon-like map

Divya Gupta and V.V.M.S. Chandramouli

Chaos, Solitons & Fractals, 2022, vol. 155, issue C

Abstract: In this paper, we introduce q-deformation on Hénon-like maps and discuss various dynamical properties of newly deformed system, named as q-Hénon 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-Hénon map undergoes transition from periodic to chaotic behaviour. For restricted range of q, we achieve chaos prior to the canonical Hénon-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-Hénon maps. Finally, we show that the basin of attraction of q-Hénon maps do not have an escaping region for a particular set of deformed parameters.

Keywords: Deformed Hénon-like map; Superstable periodic points; Heteroclinic bifurcation; Renormalization; Cantor attractor (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077921011140
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:155:y:2022:i:c:s0960077921011140

DOI: 10.1016/j.chaos.2021.111760

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().