A new chaotic system with novel multiple shapes of two-channel attractors

Hu, Chenyang; Wang, Qiao; Zhang, Xiefu; Tian, Zean; Wu, Xiaofeng

doi:10.1016/j.chaos.2022.112454

Cited by 11 publications

(3 citation statements)

References 51 publications

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“…set the initial value as 1, 1, 1, 1 ( )with the time t taken -0 100, the phase portrait of system (3) is obtained as shown in figure 1, where magenta is the three-dimensional phase portrait and black is the planar phase portrait [40]. From figure 1, it can be seen that system (3) produces five scroll attractors in the w direction under the above conditions.…”

Section: Analysis Of Attractor Evolution Over Timementioning

confidence: 99%

Analysis of a time-dependent memristor-based chaotic system and its application in image encryption

Xiong,

Wang,

2024

Phys. Scr.

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Compared with ordinary chaotic systems, memristor-based chaotic systems have more complex dynamic behaviors and are more suitable for image encryption algorithms. In this paper, a four-dimensional chaotic system is constructed by introducing a cubic nonlinear memristor into a three-dimensional chaotic system. Firstly, the dynamic characteristics of the constructed memristor-based chaotic system are analyzed in detail, and the simulation results show that the system has different attractors with different topological structures at different simulation times. Within a fixed simulation time, the system has 15 attractors with different topological structures under different parameter values, and there is a phenomenon of multiple stability in the system, indicating high complexity. Based on the above discoveries, a color image encryption algorithm including scrambling and diffusion is designed. Experimental results show that this algorithm can perfectly hide the information of the plaintext image, and the decrypted image is consistent with the plaintext image. Finally, the security of the algorithm is analyzed by using key space and so on. The analysis results indicate that the encryption algorithm designed in this paper can effectively resist external attacks and has high security.

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Section: Analysis Of Attractor Evolution Over Timementioning

confidence: 99%

Analysis of a time-dependent memristor-based chaotic system and its application in image encryption

Xiong,

Wang,

2024

Phys. Scr.

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“…[34] However, most chaotic systems have very few transient behaviors, typically only periodic to chaotic transitions, [35,36] or transitions from chaos to periodicity. [37] Although a memristive chaotic system with four transient behaviors has recently been reported, [34] and scholars have discovered systems with two transient behaviors coexisting, [38] as well as some other special transient behaviors, [39][40][41] such systems are still rare. Due to its excellent characteristics, it is necessary to study systems with multiple transient behaviors.…”

Section: Introductionmentioning

confidence: 99%

Rucklidge-based memristive chaotic system: Dynamic analysis and image encryption

et al. 2023

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A new four dimensional memristive chaotic system is obtained by introducing a memristor into the Rucklidge chaotic system, and a detailed dynamic analysis of the system is performed. The sensitivity of the system to parameters allows it obtains 16 different attractors by changing only one parameter. The various transient behaviors and excellent spectral entropy and C0 complexity values of the system can also reflect the high complexity of the system. A circuit is designed and verified the feasibility of the system from the physical level. Finally, the system is applied to image encryption, and the security of the encryption system is analyzed from multiple aspects, providing a reference for the application of such memristive chaotic systems.

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“…The chaotic systems have wide range of applications in crypto systems (Zia et al 2022;El-Latif et al 2022;Lin et al 2022), secure communication (Kumar and Singh 2022;Zhou and Tan 2019) mobile robots (Nwachioma and Pérez-Cruz 2021;Cetina-Denis et al 2022), Circuit applications (Lai et al 2021;Wang et al 2015), IOT applications (Li et al 2022a;Trujillo-Toledo et al 2021) etc. Due to these applications, recently many researchers introduced new 3D chaotic systems (Veeman et al 2022;Hu et al 2022a;Ablay 2022;Ramakrishnan et al 2022).…”

Section: Introductionmentioning

confidence: 99%

Design of a New Chaotic System with Sine Function: Dynamic Analysis and Offset Boosting Control

Ramar¹

2023

Chaos Theory and Applications

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A new chaotic system with sine function is presented in this research work. The proposed system presents some special features such as two wing attractors, forward and reverse periodic doubling bifurcation, and dc offset boosting property which can be used to diagnosis the multistability behaviour in the dynamical system. The proposed system has three nonlinear terms and one sine term. The basic information such as equilibrium points, stability and Lyapunov exponents are discussed in detail. The dynamic analysis conducted using classic tools such as bifurcation diagram and Lyapunov exponent plot to verify the chaotic nature in the proposed system. The theoretical study and the simulation results show that the proposed system has chaotic behaviour itself.

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A new chaotic system with novel multiple shapes of two-channel attractors

Cited by 11 publications

References 51 publications

Analysis of a time-dependent memristor-based chaotic system and its application in image encryption

Analysis of a time-dependent memristor-based chaotic system and its application in image encryption

Rucklidge-based memristive chaotic system: Dynamic analysis and image encryption

Design of a New Chaotic System with Sine Function: Dynamic Analysis and Offset Boosting Control

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