TY - JOUR

T1 - Generating Multiwing Hidden Chaotic Attractors With Only Stable Node-Foci: Analysis, Implementation, and Application

AU - Yang, Y.

AU - Huang, L.

AU - Kuznetsov, N.V.

AU - Chai, B.

AU - Guo, Q.

N1 - Цитирования:6 Export Date: 21 March 2024 CODEN: ITIED Адрес для корреспонденции: Huang, L.; Harbin Engineering University, China; эл. почта: huanglilian@hrbeu.edu.cn Сведения о финансировании: Natural Science Foundation of Heilongjiang Province, LH2020F022 Сведения о финансировании: Russian Science Foundation, RSF, 22-11-00172 Сведения о финансировании: Fundamental Research Funds for the Central Universities, 3072022CF0801 Текст о финансировании 1: This work was supported in part by the Fundamental Research Funds for the Central Universities under Grant 3072022CF0801, in part by the Joint Guidance Project of the Natural Science Foundation of Heilongjiang Province under Grant LH2020F022, and in part by the Russian Science Foundation (hidden attractors) under Grant 22-11-00172.

PY - 2024/4/1

Y1 - 2024/4/1

N2 - Based on Shil'nikov criterion, i.e., extending the number of unstable saddle-focus-type equilibria of chaotic system, a rich and varied multiwing chaos with complicated topology and remarkable pseudorandomness has been coined. However, it is a challenging task to construct multiwing chaos with only stable node-focus-type equilibria as the Shil'nikov criterion is not applicable in the circumstances. To eliminate this difficulty and enrich the multiwing chaos, we construct a simple three-dimensional autonomous system with only two symmetric stable equilibria, and further introduce a sawtooth wave modulation function to configure more equilibria. The highlight is that multiwing chaotic attractors can be generated from system with two or multiple stable node-foci. This characteristic indicates that the attractors can be hidden oscillating and are difficult to be located in the small neighborhoods of equilibria, which makes the system has good concealment performance for security applications. The design mechanism and system properties are theoretically analyzed and numerically investigated using phase portraits, finite-time Lyapunov exponents, and basins of attraction. Hardware experiments based on field-programmable gate array verify the feasibility of the system. Finally, based on the generated multiwing hidden chaotic attractors, an image encryption scheme with the high security performance is designed to enhance its application. © 1982-2012 IEEE.

AB - Based on Shil'nikov criterion, i.e., extending the number of unstable saddle-focus-type equilibria of chaotic system, a rich and varied multiwing chaos with complicated topology and remarkable pseudorandomness has been coined. However, it is a challenging task to construct multiwing chaos with only stable node-focus-type equilibria as the Shil'nikov criterion is not applicable in the circumstances. To eliminate this difficulty and enrich the multiwing chaos, we construct a simple three-dimensional autonomous system with only two symmetric stable equilibria, and further introduce a sawtooth wave modulation function to configure more equilibria. The highlight is that multiwing chaotic attractors can be generated from system with two or multiple stable node-foci. This characteristic indicates that the attractors can be hidden oscillating and are difficult to be located in the small neighborhoods of equilibria, which makes the system has good concealment performance for security applications. The design mechanism and system properties are theoretically analyzed and numerically investigated using phase portraits, finite-time Lyapunov exponents, and basins of attraction. Hardware experiments based on field-programmable gate array verify the feasibility of the system. Finally, based on the generated multiwing hidden chaotic attractors, an image encryption scheme with the high security performance is designed to enhance its application. © 1982-2012 IEEE.

KW - Chaotic system

KW - hardware implementation

KW - hidden attractor

KW - initial state

KW - multiwing attractor

KW - Cryptography

KW - Field programmable gate arrays (FPGA)

KW - Image enhancement

KW - Lyapunov methods

KW - Chaotic attractors

KW - Hardware implementations

KW - Hidden attractor

KW - Initial state

KW - Multiwing attractor

KW - Pseudorandomness

KW - Saddle-focus

KW - Simple++

KW - Stable node focus

KW - Three dimensional autonomous system

KW - Chaotic systems

UR - https://www.mendeley.com/catalogue/a5e290ed-0475-3dc2-98e7-e804286daab4/

U2 - 10.1109/tie.2023.3273242

DO - 10.1109/tie.2023.3273242

M3 - статья

VL - 71

SP - 3986

EP - 3995

JO - IEEE Transactions on Industrial Electronics

JF - IEEE Transactions on Industrial Electronics

SN - 0278-0046

IS - 4

M1 - 4

ER -