Analysis and FPGA Realization of a Novel 5D Hyperchaotic Four-Wing Memristive System, Active Control Synchronization, and Secure Communication Application

By introducing a flux-controlled memristor with quadratic nonlinearity into a 4D hyperchaotic system as a feedback term, a novel 5D hyperchaotic four-wing memristive system (HFWMS) is derived in this paper. The HFWMS with multiline equilibrium and three positive Lyapunov exponents presented very com...

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Main Authors: Fei Yu, Li Liu, Binyong He, Yuanyuan Huang, Changqiong Shi, Shuo Cai, Yun Song, Sichun Du, Qiuzhen Wan
Format: Article
Language:English
Published: Hindawi-Wiley 2019-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2019/4047957
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spelling doaj-6841628a97bf4337b3a4cf08b13517c02020-11-25T01:22:59ZengHindawi-WileyComplexity1076-27871099-05262019-01-01201910.1155/2019/40479574047957Analysis and FPGA Realization of a Novel 5D Hyperchaotic Four-Wing Memristive System, Active Control Synchronization, and Secure Communication ApplicationFei Yu0Li Liu1Binyong He2Yuanyuan Huang3Changqiong Shi4Shuo Cai5Yun Song6Sichun Du7Qiuzhen Wan8School of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha 410114, ChinaSchool of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha 410114, ChinaSchool of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha 410114, ChinaSchool of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha 410114, ChinaSchool of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha 410114, ChinaSchool of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha 410114, ChinaSchool of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha 410114, ChinaCollege of Computer Science and Electronic Engineering, Hunan University, Changsha 410082, ChinaCollege of Information Science and Engineering, Hunan Normal University, Changsha 410081, ChinaBy introducing a flux-controlled memristor with quadratic nonlinearity into a 4D hyperchaotic system as a feedback term, a novel 5D hyperchaotic four-wing memristive system (HFWMS) is derived in this paper. The HFWMS with multiline equilibrium and three positive Lyapunov exponents presented very complex dynamic characteristics, such as the existence of chaos, hyperchaos, limit cycles, and periods. The dynamic characteristics of the HFWMS are analyzed by using equilibria, phase portraits, poincare map, Lyapunov exponential spectrum, bifurcation diagram, and spectral entropy. Of particular interest is that this novel system can generate two-wing hyperchaotic attractor under appropriate parameters and initial conditions. Moreover, the FPGA realization of the novel 5D HFWMS is reported, which prove that the system has complex dynamic behavior. Finally, synchronization of the 5D hyperchaotic system with different structures by active control and a secure signal masking application of the HFWMS are implemented based on numerical simulations and FPGA. This research demonstrates that the hardware-based design of the 5D HFWMS can be applied to various chaos-based embedded system applications including random number generation, cryptography, and secure communication.http://dx.doi.org/10.1155/2019/4047957
collection DOAJ
language English
format Article
sources DOAJ
author Fei Yu
Li Liu
Binyong He
Yuanyuan Huang
Changqiong Shi
Shuo Cai
Yun Song
Sichun Du
Qiuzhen Wan
spellingShingle Fei Yu
Li Liu
Binyong He
Yuanyuan Huang
Changqiong Shi
Shuo Cai
Yun Song
Sichun Du
Qiuzhen Wan
Analysis and FPGA Realization of a Novel 5D Hyperchaotic Four-Wing Memristive System, Active Control Synchronization, and Secure Communication Application
Complexity
author_facet Fei Yu
Li Liu
Binyong He
Yuanyuan Huang
Changqiong Shi
Shuo Cai
Yun Song
Sichun Du
Qiuzhen Wan
author_sort Fei Yu
title Analysis and FPGA Realization of a Novel 5D Hyperchaotic Four-Wing Memristive System, Active Control Synchronization, and Secure Communication Application
title_short Analysis and FPGA Realization of a Novel 5D Hyperchaotic Four-Wing Memristive System, Active Control Synchronization, and Secure Communication Application
title_full Analysis and FPGA Realization of a Novel 5D Hyperchaotic Four-Wing Memristive System, Active Control Synchronization, and Secure Communication Application
title_fullStr Analysis and FPGA Realization of a Novel 5D Hyperchaotic Four-Wing Memristive System, Active Control Synchronization, and Secure Communication Application
title_full_unstemmed Analysis and FPGA Realization of a Novel 5D Hyperchaotic Four-Wing Memristive System, Active Control Synchronization, and Secure Communication Application
title_sort analysis and fpga realization of a novel 5d hyperchaotic four-wing memristive system, active control synchronization, and secure communication application
publisher Hindawi-Wiley
series Complexity
issn 1076-2787
1099-0526
publishDate 2019-01-01
description By introducing a flux-controlled memristor with quadratic nonlinearity into a 4D hyperchaotic system as a feedback term, a novel 5D hyperchaotic four-wing memristive system (HFWMS) is derived in this paper. The HFWMS with multiline equilibrium and three positive Lyapunov exponents presented very complex dynamic characteristics, such as the existence of chaos, hyperchaos, limit cycles, and periods. The dynamic characteristics of the HFWMS are analyzed by using equilibria, phase portraits, poincare map, Lyapunov exponential spectrum, bifurcation diagram, and spectral entropy. Of particular interest is that this novel system can generate two-wing hyperchaotic attractor under appropriate parameters and initial conditions. Moreover, the FPGA realization of the novel 5D HFWMS is reported, which prove that the system has complex dynamic behavior. Finally, synchronization of the 5D hyperchaotic system with different structures by active control and a secure signal masking application of the HFWMS are implemented based on numerical simulations and FPGA. This research demonstrates that the hardware-based design of the 5D HFWMS can be applied to various chaos-based embedded system applications including random number generation, cryptography, and secure communication.
url http://dx.doi.org/10.1155/2019/4047957
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