Analysis, Synchronization and Circuit Design of a 4D Hyperchaotic Hyperjerk System
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-dimensio...
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doaj-3f9ee9c978b346a08e69a57ac398dc522020-11-25T00:08:43ZengMDPI AGComputation2079-31972018-02-01611410.3390/computation6010014computation6010014Analysis, Synchronization and Circuit Design of a 4D Hyperchaotic Hyperjerk SystemPetros A. Daltzis0Christos K. Volos1Hector E. Nistazakis2Andreas D. Tsigopoulos3George S. Tombras4Department of Electronics, Computers, Telecommunications and Control, Faculty of Physics, National and Kapodistrian University of Athens, GR-157 84 Athens, GreeceLaboratory of Nonlinear Systems—Circuits & Complexity, Department of Physics, Aristotle University of Thessaloniki, GR-541 24 Thessaloniki, GreeceDepartment of Electronics, Computers, Telecommunications and Control, Faculty of Physics, National and Kapodistrian University of Athens, GR-157 84 Athens, GreeceDepartment of Battle Systems, Naval Operations, Sea Studies, Navigation, Electronics and Telecommunications, Hellenic Naval Academy, Hadjikyriakou Ave., GR-185 39 Piraerus, GreeceDepartment of Electronics, Computers, Telecommunications and Control, Faculty of Physics, National and Kapodistrian University of Athens, GR-157 84 Athens, GreeceIn 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.http://www.mdpi.com/2079-3197/6/1/14adaptive synchronization schemehyperchaoshyperjerk systemnonlinear circuit |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Petros A. Daltzis Christos K. Volos Hector E. Nistazakis Andreas D. Tsigopoulos George S. Tombras |
spellingShingle |
Petros A. Daltzis Christos K. Volos Hector E. Nistazakis Andreas D. Tsigopoulos George S. Tombras Analysis, Synchronization and Circuit Design of a 4D Hyperchaotic Hyperjerk System Computation adaptive synchronization scheme hyperchaos hyperjerk system nonlinear circuit |
author_facet |
Petros A. Daltzis Christos K. Volos Hector E. Nistazakis Andreas D. Tsigopoulos George S. Tombras |
author_sort |
Petros A. Daltzis |
title |
Analysis, Synchronization and Circuit Design of a 4D Hyperchaotic Hyperjerk System |
title_short |
Analysis, Synchronization and Circuit Design of a 4D Hyperchaotic Hyperjerk System |
title_full |
Analysis, Synchronization and Circuit Design of a 4D Hyperchaotic Hyperjerk System |
title_fullStr |
Analysis, Synchronization and Circuit Design of a 4D Hyperchaotic Hyperjerk System |
title_full_unstemmed |
Analysis, Synchronization and Circuit Design of a 4D Hyperchaotic Hyperjerk System |
title_sort |
analysis, synchronization and circuit design of a 4d hyperchaotic hyperjerk system |
publisher |
MDPI AG |
series |
Computation |
issn |
2079-3197 |
publishDate |
2018-02-01 |
description |
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. |
topic |
adaptive synchronization scheme hyperchaos hyperjerk system nonlinear circuit |
url |
http://www.mdpi.com/2079-3197/6/1/14 |
work_keys_str_mv |
AT petrosadaltzis analysissynchronizationandcircuitdesignofa4dhyperchaotichyperjerksystem AT christoskvolos analysissynchronizationandcircuitdesignofa4dhyperchaotichyperjerksystem AT hectorenistazakis analysissynchronizationandcircuitdesignofa4dhyperchaotichyperjerksystem AT andreasdtsigopoulos analysissynchronizationandcircuitdesignofa4dhyperchaotichyperjerksystem AT georgestombras analysissynchronizationandcircuitdesignofa4dhyperchaotichyperjerksystem |
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1725414939530625024 |