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Computation 2018, 6(1), 14; https://doi.org/10.3390/computation6010014

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

1
Department of Electronics, Computers, Telecommunications and Control, Faculty of Physics, National and Kapodistrian University of Athens, GR-157 84 Athens, Greece
2
Laboratory of Nonlinear Systems—Circuits & Complexity, Department of Physics, Aristotle University of Thessaloniki, GR-541 24 Thessaloniki, Greece
3
Department of Battle Systems, Naval Operations, Sea Studies, Navigation, Electronics and Telecommunications, Hellenic Naval Academy, Hadjikyriakou Ave., GR-185 39 Piraerus, Greece
*
Author to whom correspondence should be addressed.
Received: 15 December 2017 / Revised: 31 January 2018 / Accepted: 2 February 2018 / Published: 6 February 2018
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Abstract

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. View Full-Text
Keywords: adaptive synchronization scheme; hyperchaos; hyperjerk system; nonlinear circuit adaptive synchronization scheme; hyperchaos; hyperjerk system; nonlinear circuit
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Daltzis, P.A.; Volos, C.K.; Nistazakis, H.E.; Tsigopoulos, A.D.; Tombras, G.S. Analysis, Synchronization and Circuit Design of a 4D Hyperchaotic Hyperjerk System. Computation 2018, 6, 14.

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