Mathematical Model and FPGA Realization of a Multi-Stable Chaotic Dynamical System with a Closed Butterfly-Like Curve of Equilibrium Points

被引：48

作者：

Sambas, Aceng ^{[1
]}

Vaidyanathan, Sundarapandian ^{[2
]}

Bonny, Talal ^{[3
]}

Zhang, Sen ^{[4
]}

Sukono ^{[5
]}

Hidayat, Yuyun ^{[6
]}

Gundara, Gugun ^{[1
]}

Mamat, Mustafa ^{[7
]}

机构：

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

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

[3] Univ Sharjah, Dept Comp Engn, Sharjah 26666, U Arab Emirates

[4] Xiangtan Univ, Sch Phys & Opotoelect Engn, Xiangtan 411105, Peoples R China

[5] Univ Padjadjaran, Dept Math, Jatinangor 45363, Kabupaten Sumed, Indonesia

[6] Univ Padjadjaran, Dept Stat, Jatinangor 45363, Kabupaten Sumed, Indonesia

[7] Univ Sultan Zainal Abidin, Fac Informat & Comp, Gong Badak 21300, Kuala Terenggan, Malaysia

来源：

APPLIED SCIENCES-BASEL | 2021年 / 11卷 / 02期

关键词：

chaotic systems; chaos; multi-stability; transient chaos; FPGA implementation;

D O I：

10.3390/app11020788

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

This paper starts with a review of three-dimensional chaotic dynamical systems equipped with special curves of balance points. We also propose the mathematical model of a new three-dimensional chaotic system equipped with a closed butterfly-like curve of balance points. By performing a bifurcation study of the new system, we analyze intrinsic properties such as chaoticity, multi-stability, and transient chaos. Finally, we carry out a realization of the new multi-stable chaotic model using Field-Programmable Gate Array (FPGA).

引用

页码：1 / 16

页数：16

共 10 条

[1] A 3-D Multi-Stable System With a Peanut-Shaped Equilibrium Curve: Circuit Design, FPGA Realization, and an Application to Image Encryption
Sambas, Aceng
Vaidyanathan, Sundarapandian
Tlelo-Cuautle, Esteban
Abd-El-Atty, Bassem
Abd El-Latif, Ahmed A.
Guillen-Fernandez, Omar
Sukono
Hidayat, Yuyun
Gundara, Gugun
[J]. IEEE ACCESS, 2020, 8 (08): : 137116 - 137132
[2] Dynamics, FPGA realization and application of a chaotic system with an infinite number of equilibrium points
Esteban Tlelo-Cuautle
Luis Gerardo de la Fraga
Viet-Thanh Pham
Christos Volos
Sajad Jafari
Antonio de Jesus Quintas-Valles
[J]. Nonlinear Dynamics, 2017, 89 : 1129 - 1139
[3] Dynamics, FPGA realization and application of a chaotic system with an infinite number of equilibrium points
Tlelo-Cuautle, Esteban
Gerardo de la Fraga, Luis
Viet-Thanh Pham
Volos, Christos
Jafari, Sajad
de Jesus Quintas-Valles, Antonio
[J]. NONLINEAR DYNAMICS, 2017, 89 (02) : 1129 - 1139
[4] Multi-stable hidden attractor chaotic system and its analog coexistence circuit realization
Su, Qinfei
Dong, Chengwei
[J]. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2024, 2024 (01):
[5] A Chaotic System with Two Stable Equilibrium Points: Dynamics, Circuit Realization and Communication Application
Wang, Xiong
Akgul, Akif
Cicek, Serdar
Viet-Thanh Pham
Duy Vo Hoang
[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2017, 27 (08):
[6] A Novel Chaotic System with Two Circles of Equilibrium Points: Multistability, Electronic Circuit and FPGA Realization
Sambas, Aceng
Vaidyanathan, Sundarapandian
Tlelo-Cuautle, Esteban
Zhang, Sen
Guillen-Fernandez, Omar
Sukono
Hidayat, Yuyun
Gundara, Gugun
[J]. ELECTRONICS, 2019, 8 (11)
[7] A new multi-stable chaotic hyperjerk system, its special features, circuit realization, control and synchronization
Viet-Thanh Pham
Vaidyanathan, Sundarapandian
Volos, Christos
Jafari, Sajad
Kapitaniak, Tomasz
[J]. ARCHIVES OF CONTROL SCIENCES, 2020, 30 (01): : 23 - 45
[8] A new conservative chaotic dynamical system with lemniscate equilibrium, its circuit model and FPGA implementation
Vaidyanathan, Sundarapandian
Tlelo-Cuautle, Esteban
Anand, P. S. Godwin
Sambas, Aceng
Guillen-Fernandez, Omar
Zhang, Sen
[J]. INTERNATIONAL JOURNAL OF AUTOMATION AND CONTROL, 2021, 15 (02) : 128 - 148
[9] A 5-D Multi-Stable Hyperchaotic Two-Disk Dynamo System With No Equilibrium Point: Circuit Design, FPGA Realization and Applications to TRNGs and Image Encryption
Vaidyanathan, Sundarapandian
Sambas, Aceng
Abd-El-Atty, Bassem
Abd El-Latif, Ahmed A.
Tlelo-Cuautle, Esteban
Guillen-Fernandez, Omar
Mamat, Mustafa
Mohamed, Mohamad Afendee
Alcin, Murat
Tuna, Murat
Pehlivan, Ihsan
Koyuncu, Ismail
Ibrahim, Mohd Asrul Hery
[J]. IEEE ACCESS, 2021, 9 : 81352 - 81369
[10] A New 4-D Multi-Stable Hyperchaotic System With No Balance Point: Bifurcation Analysis, Circuit Simulation, FPGA Realization and Image Cryptosystem
Vaidyanathan, Sundarapandian
Sambas, Aceng
Tlelo-Cuautle, Esteban
Abd El-Latif, Ahmed A.
Abd-El-Atty, Bassem
Guillen-Fernandez, Omar
Benkouider, Khaled
Mohamed, Mohamad Afendee
Mamat, Mustafa
Ibrahim, Mohd Asrul Hery
[J]. IEEE ACCESS, 2021, 9 : 144555 - 144573

← 1 →