A New Chaotic System With Two Stable Node-Foci Equilibria and an Unstable Saddle-Focus Equilibrium: Bifurcation and Multistability Analysis, Circuit Design, Voice Cryptosystem Application, and FPGA Implementation

被引：2

作者：

Bonny, Talal ^{[1
]}

Vaidyanathan, Sundarapandian ^{[2
,3
]}

Al Nassan, Wafaa ^{[1
]}

Hannachi, Fareh ^{[4
]}

Sambas, Aceng ^{[5
,6
]}

机构：

[1] Univ Sharjah, Dept Comp Engn, Sharjah, U Arab Emirates

[2] Vel Tech Univ, Ctr Control Syst, Chennai 600062, Tamil Nadu, India

[3] UCSI Univ, Ctr Excellence Res Value Innovat & Entrepreneurshi, Kuala Lumpur 56000, Malaysia

[4] Echahid Cheikh Larbi Tebessi Univ, Dept Management Sci, Tebessa 12002, Algeria

[5] Univ Sultan Zainal Abidin, Fac Informat & Comp, Kampung Gong Badak 21300, Terengganu, Malaysia

[6] Univ Muhammadiyah Tasikmalaya, Dept Mech Engn, Tasikmalaya 46196, Indonesia

来源：

IEEE ACCESS | 2024年 / 12卷

关键词：

Chaotic communication; Bifurcation; Encryption; Field programmable gate arrays; Standards; Mathematical models; Maximum likelihood estimation; Modeling; chaos; chaotic systems; circuits; equilibrium; FPGA;

D O I：

10.1109/ACCESS.2024.3424695

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In the recent years, significant research interest has been devoted in the modelling and applications of chaotic systems with stable equilibria. In this research study, we propose a new 3-D chaotic system with two stable node-foci equilibria and an unstable saddle-focus equilibrium. We conduct a detailed bifurcation analysis for the new chaotic system with the aid of bifurcation diagrams and Lyapunov exponents. We also show that the new chaotic system has multistability with coexisting attractors. Using MultiSim version 14.1, we design an electronic circuit for the proposed 3-D chaotic system. Finally, as an application, we introduce a voice cryptosystem using the new chaotic system with two stable node-foci equilibrium points and an unstable saddle-focus equilibrium point and its hardware realization on the FPGA platform.

引用

页码：94018 / 94034

页数：17

共 37 条

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