Next Article in Journal
Effect of Mn Addition on the Microstructures and Mechanical Properties of CoCrFeNiPd High Entropy Alloy
Next Article in Special Issue
Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-Excited Attractors
Previous Article in Journal
Quantum Chaos and Quantum Randomness—Paradigms of Entropy Production on the Smallest Scales
Previous Article in Special Issue
Chaotic Map with No Fixed Points: Entropy, Implementation and Control
Open AccessArticle

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.
Entropy 2019, 21(3), 287; https://doi.org/10.3390/e21030287
Received: 27 February 2019 / Revised: 12 March 2019 / Accepted: 13 March 2019 / Published: 15 March 2019
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
Show Figures

Figure 1

MDPI and ACS Style

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.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop