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Entropy 2019, 21(3), 287; https://doi.org/10.3390/e21030287

Dynamics and Entropy Analysis for a New 4-D Hyperchaotic System with Coexisting Hidden Attractors

1
School of Electronic and Information Engineering, Anshun University, Anshun, 561000, China
2
School of Mathematics and Computer Science, Guizhou Education University, Guiyang, 550018, China
3
School of Information Engineering, Guizhou University of Engineering Science, Bijie, 551700, China
*
Author to whom correspondence should be addressed.
Received: 27 February 2019 / Revised: 12 March 2019 / Accepted: 13 March 2019 / Published: 15 March 2019
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Abstract

This paper presents a new no-equilibrium 4-D hyperchaotic multistable system with coexisting hidden attractors. One prominent feature is that by varying the system parameter or initial value, the system can generate several nonlinear complex attractors: periodic, quasiperiodic, multiple topology chaotic, and hyperchaotic. The dynamics and complexity of the proposed system were investigated through Lyapunov exponents (LEs), a bifurcation diagram, a Poincaré map, and spectral entropy (SE). The simulation and calculation results show that the proposed multistable system has very rich and complex hidden dynamic characteristics. Additionally, the circuit of the chaotic system is designed to verify the physical realizability of the system. This study provides new insights into uncovering the dynamic characteristics of the coexisting hidden attractors system and provides a new choice for nonlinear control or chaotic secure communication technology. View Full-Text
Keywords: hidden attractor; hyperchaotic system; multistability; entropy analysis hidden attractor; hyperchaotic system; multistability; entropy analysis
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Liu, L.; Du, C.; Zhang, X.; Li, J.; Shi, S. Dynamics and Entropy Analysis for a New 4-D Hyperchaotic System with Coexisting Hidden Attractors. Entropy 2019, 21, 287.

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