A New Four-Dimensional Chaotic System with Multistability and Its Predefined-Time Synchronization

Author:

Wang Ertong1,Yan Shaohui1ORCID,Wang Qiyu1

Affiliation:

1. College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, P. R. China

Abstract

A new chaotic system is obtained by modifying the Sprott-C system. Then the phase diagrams, power spectra, 0–1 tests, Poincaré maps, Lyapunov exponential spectra, time sequences, and complexity are studied. Research indicates that the system is sensitive to parameters and initial conditions, and bursting oscillation, transient chaos and multistability are investigated. The complexity of the new system is calculated using the Sample Entropy (SE) complexity algorithm, including selecting more suitable initial values and parameters for the application. In addition, the system circuit designed by Multisim and the actual digital circuit realized by Field Programmable Gate Array (FPGA) verify the feasibility of the system. Finally, to obtain a more appropriate synchronization result for practical applications, a synchronous controller is designed to successfully implement the predefined-time synchronization of the system in different dimensions. The simulation results demonstrate that the predefined-time synchronization can control the synchronous time and is unaffected by the initial conditions. The results demonstrate that this synchronization method is well accommodated to practical applications.

Funder

Natural Science Foundation of Gansu Province

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3