A new method for constructing discrete hyperchaotic systems with a controllable range of Lyapunov exponents and its application in information security

Zeng, J. C.; Wang, Yiming; Li, Xinyu; Guang, Yerui; Wang, Chuanfu; Ding, Qun

doi:10.1088/1402-4896/acd887

Cited by 3 publications

(1 citation statement)

References 48 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Subsequently, numerical simulation methods such as MATLAB were employed to conduct in-depth analyses of the dynamic characteristics of hyperchaotic systems, including Lyapunov exponents' spectrum and bifurcation diagrams. Hyperchaotic systems hold vast potential for applications in fields like image encryption and communication security [58][59][60][61][62][63][64][65][66][67][68][69] , given their nonlinear characteristics and high security, thereby offering a promising avenue for research in information security and cryptography.…”

Section: Introductionmentioning

confidence: 99%

A new hyperchaotic system with dynamical analysis and its application in image encryption based on STM32

Cheng,

Zhu,

Liu

2023

Preprint

View full text Add to dashboard Cite

This paper proposes a new 4D hyperchaotic system based on a modified 3D Lorenz chaotic system. The stability of equilibrium points in this hyperchaotic system is analyzed, with a notable feature being the presence of only one equilibrium point. Subsequently, dynamic characteristics of the new system, such as Lyapunov exponents' spectrum, bifurcation diagram, and chaotic attractors, are analyzed using MATLAB numerical simulation software. The numerical analysis indicates that the hyperchaotic system exhibits hyperchaotic characteristics over a wide range of parameterdvalues, and its chaotic attractor manifests four states: hyperchaotic, chaotic, periodic, and quasi-periodic. This illustrates the complex dynamic behavior of the hyperchaotic system. Experimental validation is then conducted using embedded hardware STM32, reproducing the four types of chaotic attractors observed in numerical analysis and confirming the accuracy of theoretical analysis. The proposed new hyperchaotic system is deemed effective and reliable. Finally, the system is applied to image encryption, presenting a novel encryption method based on the hyperchaotic system. The designed hyperchaotic encryption sequence satisfies 15 tests of the NIST SP800-22 standard, and experimental verification using STM32 demonstrates the effectiveness, simplicity, non-linearity, and high security of the proposed image encryption algorithm. This method can be extended to applications such as audio encryption, image encryption, video encryption, and other fields.

show abstract

Section: Introductionmentioning

confidence: 99%

A new hyperchaotic system with dynamical analysis and its application in image encryption based on STM32

Cheng,

Zhu,

Liu

2023

Preprint

View full text Add to dashboard Cite

show abstract

Dynamics, circuit design, feedback control of a new hyperchaotic system and its application in audio encryption

Fu,

Cheng,

Liu

2023

Sci Rep

View full text Add to dashboard Cite

In this study, a 4D hyperchaotic system is constructed based on the foundation of a 3D Lü chaotic system. The newly devised hyperchaotic system possesses a sole equilibrium point, showcasing a simplified system structure that reduces complexity. This simplification offers a clearer opportunity for in-depth analysis of dynamic behaviors in the realm of scientific research. The proposed hyperchaotic system undergoes an in-depth examination of its dynamical characteristics, including chaotic attractors, equilibrium point stability, Lyapunov exponents’ spectrum, and bifurcation diagram. Numerical analysis results reveal that the attractor of this hyperchaotic system exhibits highly complex, non-periodic, and fractal structural dynamics. Its motion demonstrates extreme sensitivity and randomness, even within a wide range of variations in parameter d, affirming its hyperchaotic properties with two positive Lyapunov exponents. Hyperchaotic bifurcation diagrams typically exhibit highly intricate structures, such as fractals, branches, and period doubling characteristics, signifying that even minor parameter adjustments can lead to significant changes in system behavior, presenting diversity and unpredictability. Subsequently, to further investigate the practical utility of this hyperchaotic system, a linear feedback control strategy is implemented. Through linear feedback control, the hyperchaotic system is stabilized at its unique equilibrium point. Experimental validation is conducted using both computer software simulation Matlab, electronic circuit simulation Multisim, and embedded hardware STM32. The results of these experiments consistently align, providing theoretical support for the application of this hyperchaotic system in practical domains. Finally, leveraging the hyperchaotic keys generated by this hyperchaotic system, audio encryption is achieved using a cross-XOR algorithm, which is then realized on the embedded hardware platform STM32. The results show that the audio encryption scheme based on the hyperchaotic system is feasible, and the method is simple to implement, has nonlinear characteristics and certain algorithm complexity, which can be applied to audio encryption, image encryption, video encryption, and more.

show abstract

N-dimensional discrete hyperchaotic system and its application in audio encryption

Zhou Shuang,

Yin Yan-li,

Wang Shi-yu

et al. 2024

Acta Phys. Sin.

View full text Add to dashboard Cite

Discrete chaotic system, as a pseudo-random signal source, plays a very important role in secure communication. However, many low-dimensional chaotic systems are prone to chaos degradation. Therefore, many scholars have studied the construction of high-dimensional chaotic systems. However, many existing algorithms for constructing high-dimensional chaotic systems have relatively high time complexity and relatively complex structures. To solve this problem, this paper explores an n-dimensional discrete hyperchaotic system with a simple structure. Firstly, the n-dimensional discrete hyperchaotic system is constructed by using sine function and power function and simple operations. Then, it is theoretically analyzed that the system can be through parameter settings the positive Lyapunov exponents based on Jacobian matrix method. Next, the algorithm time complexity, sample entropy, correlation dimension and other indexes are compared with the existing methods. The experimental results show that our system has a simple structure, high complexity and good algorithm time complexity. Therewith, a six-dimensional chaotic system is chosen as an example, the phase diagram, bifurcation diagram, Lyapunov expnonents, complexity and other characteristics of the system are analyzed, and the results show that the proposed system has good chaotic characteristics. Moreover, to show the application of the proposed system, we apply it to audio encryption. Based on this system, we combine it with the XOR operation and true random numbers to explore a novel method of one-cipher audio encryption. Through experimental simulation, compared with some existing audio encryption algorithms, this algorithm can satisfy various statistical tests and resists various common attacks. It also proves that the proposed system can be effectively applied in the field of audio encryption.

show abstract

A new method for constructing discrete hyperchaotic systems with a controllable range of Lyapunov exponents and its application in information security

Cited by 3 publications

References 48 publications

A new hyperchaotic system with dynamical analysis and its application in image encryption based on STM32

A new hyperchaotic system with dynamical analysis and its application in image encryption based on STM32

Dynamics, circuit design, feedback control of a new hyperchaotic system and its application in audio encryption

<i>N</i>-dimensional discrete hyperchaotic system and its application in audio encryption

Contact Info

Product

Resources

About