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Dynamical analysis and anti-synchronization of a new 6D model with self-excited attractors

Dynamical analysis and anti-synchronization of a new 6D model with self-excited attractors A novel 6D dissipative model with an unstable equilibrium point is introduced herein. Some of the dynamic characteristics of the proposed model were explored via analyses and numerical simulations including critical points, stability, Lyapunov exponents, time phase portraits, and circuit implementation. Also, anti-synchronization phenomena were implemented on the new system. Firstly, the error dynamics is found. Then, four different controllers are adopted to stabilize this error relying on the nonlinear control technique with two main ways: linearization and Lyapunov stability theory. In comparison with previous works, the present controllers realize anti-synchronization based on another method/linearization method. Finally, a comparison between the two ways was made. The simulation results show the effectiveness and accuracy of the first analytical strategy. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics-A Journal of Chinese Universities Springer Journals

Dynamical analysis and anti-synchronization of a new 6D model with self-excited attractors

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Publisher
Springer Journals
Copyright
Copyright © Editorial Committee of Applied Mathematics 2023
ISSN
1005-1031
eISSN
1993-0445
DOI
10.1007/s11766-023-3960-0
Publisher site
See Article on Publisher Site

Abstract

A novel 6D dissipative model with an unstable equilibrium point is introduced herein. Some of the dynamic characteristics of the proposed model were explored via analyses and numerical simulations including critical points, stability, Lyapunov exponents, time phase portraits, and circuit implementation. Also, anti-synchronization phenomena were implemented on the new system. Firstly, the error dynamics is found. Then, four different controllers are adopted to stabilize this error relying on the nonlinear control technique with two main ways: linearization and Lyapunov stability theory. In comparison with previous works, the present controllers realize anti-synchronization based on another method/linearization method. Finally, a comparison between the two ways was made. The simulation results show the effectiveness and accuracy of the first analytical strategy.

Journal

Applied Mathematics-A Journal of Chinese Universities – Springer Journals

Published: Mar 1, 2023

Keywords: 6D hyperchaotic system; self-excited attractor; anti-synchronization; Lyapunov stability theory; 34D06; 37C75; 34D08

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