Analysis, Synchronization and Circuit Design of a 4D Hyperchaotic Hyperjerk System

被引：10
作者：
Daltzis, Petros A. [1 ]
Volos, Christos K. [2 ]
Nistazakis, Hector E. [1 ]
Tsigopoulos, Andreas D. [3 ]
Tombras, George S. [1 ]
机构：
[1] Univ Athens, Fac Phys, Dept Elect Comp Telecommun & Control, GR-15784 Athens, Greece
[2] Aristotle Univ Thessaloniki, Dept Phys, Lab Nonlinear Syst Circuits & Complex, GR-54124 Thessaloniki, Greece
[3] Hellen Naval Acad, Dept Battle Syst Naval Operat Sea Studies Nav Ele, Hadjikyriakou Ave, GR-18539 Piraerus, Greece
来源：
COMPUTATION | 2018年 / 6卷 / 01期
关键词：
adaptive synchronization scheme; hyperchaos; hyperjerk system; nonlinear circuit;
D O I：
10.3390/computation6010014
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work, a 4D hyperchaotic hyperjerk system, with better results for its Lyapunov exponents and Kaplan-Yorke dimension regarding other systems of this family, as well as its circuit implementation, is presented. Hyperchaotic hyperjerk systems depict complex dynamical behavior in a high-dimensional phase space with n >= 4, offering robustness against many types of attacks in private communications. For this reason, an adaptive controller in order to achieve global chaos synchronization of coupled 4D hyperchaotic hyperjerk systems with unknown parameters is designed. The adaptive results in this work are proved using Lyapunov stability theory and the effectiveness of the proposed synchronization scheme is confirmed through the simulation results.
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页数：19
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