Work

A class of memristive Hénon maps

Year: 2024

Type: article

Abstract: Memristor, the electronic component, is introduced in the Hénon map and is studied extensively. Several chaotic maps are proposed by constructing the memristors through nonlinear functions such as absolute value functions, trigonometric functions, and activation functions. It is found that in a part of the proposed chaotic maps, the local offset boosting of the system variable can be guided by a single parameter. Not only that, the generation of homogeneous multistability can be controlled by the initial conditions of the systems. Moreover, the number of homogeneous attractors produced changes when the system parameters are varied. In addition, the control of chaos can be achieved by adjusting the excitation fRequency of the memristor. The theoretical results and numerical laws presented in this paper are verified by circuit implementation based on the microcontroller unit.

Source: Physica Scripta

DOI: 10.1088/1402-4896/ad71fe

Authors: Zhihao Wang, Chunbiao Li, Yongxin Li, Irene Moroz, Haiyan Fu

Institutions: Nanjing University of Information Science and Technology, University of Oxford, Qilu Institute of Technology

Language: English

Topic: Chaos control and synchronization

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,285

Funder: National Natural Science Foundation of China