Dynamic analyses, FPGA implementation and engineering applications of multi-butterfly chaotic attractors generated from generalised Sprott C system

Pramana: Journal of physics

KARTHIKEYAN RAJAGOPAL^3¹  AKIF AKGUL^5²  QIANG LAI^1³  GUANGHUI XU^4⁴  XIAO-WEN ZHAO^2⁵ 

[1] Department of Electrical and Communication Engineering, The PNG University of Technology, Lae, Papua New Guinea^3;Department of Electrical and Electronics Engineering, Faculty of Technology, Sakarya University, 54187 Serdivan, Sakarya, Turkey^5;School of Electrical and Automation Engineering, East China Jiaotong University, Nanchang 330013, China^1;School of Electrical and Electronic Engineering, Hubei University of Technology, Wuhan 430068, China^4;School of Mathematics, Hefei University of Technology, Hefei 230009, China^2

关键词: Multi-butterfly chaotic attractors;    generalised Sprott C system;    non-hyperbolic equilibria;    Lyapunov exponents;    field programmable gate array implementation;    electronic circuit realisation;    random number generator;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

This paper considers the generation of multi-butterfly chaotic attractors from a generalised Sprott C system with multiple non-hyperbolic equilibria. The system is constructed by introducing an additional variable whose derivative has a switching function to the Sprott C system. It is numerically found that the system creates two-, three-, four-, five-butterfly attractors and any other multi-butterfly attractors. First, the dynamic analyses of multi-butterfly chaotic attractors are presented. Secondly, the field programmable gate array implementation, electronic circuit realisation and random number generator are done with the multi-butterfly chaotic attractors.

【 授权许可】

CC BY