Multi-scroll fractional-order chaotic system and finite-time synchronization

Yan, Shaohui; Wang, Qiyu; Wang, Ertong; Sun, Xiaodan; Song, Zhenlong

doi:10.1088/1402-4896/ac4944

Cited by 18 publications

(18 citation statements)

References 69 publications

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“…Fixing the parameters a = 8 and c = 14 constant, when d is varied in the range (1,9), its corresponding Lyapunov exponential spectrum and bifurcation diagram are given in Fig. 3(c) and Fig.…”

Section: Lyapunov Exponent and Bifurcation Analysismentioning

confidence: 99%

“…When the system parameters a = 8, c = 14 are chosen with initial values of (1, 1, 1, 1) and b varies in the range (1,9), the SE and C0 complexity of the system is calculated as shown in Fig. 5.…”

Section: Se and C0 Complexitymentioning

confidence: 99%

“…They are highly sensitive to initial values, and small changes in initial values can produce different results, making chaotic signals unpredictable and difficult to intercept. Due to the excellent properties of non-linear chaotic systems, it is widely used in areas such as image encryption [4][5][6], synchronous and confidential communication [7][8][9], and weak signal detection [10,11].…”

Section: Introductionmentioning

confidence: 99%

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Design of a new four-dimensional chaotic system and its application to color image encryption

Yan

Zhao³

2023

Preprint

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In this paper, a new four-dimensional chaotic system is constructed. Then, the dynamics of the phase diagram, Lyapunov exponent, bifurcation, and complexity of the system are investigated, the simulation circuit of the system is designed and the trajectory simulation of the system is implemented using a Field Programmable Gate Array (FPGA). National Institute of Standards and Technology (NIST) tests have verified the randomness of the output of the chaotic sequence by the system. Finally, a new color image encryption algorithm is designed based on this system. In the proposed algorithm, the plaintext information is used to generate the initial value of the system through a hashing algorithm, and the plaintext information is applied to the algorithm, reflecting the idea of algorithmic adaption. The bit-plane decomposition row dislocation breaks the strong correlation between pixels, and finally, the DNA encoding is combined with the diffusion method to complete the complete encryption process. Multiple security analysis methods show that the scheme has a good encryption effect.

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Section: Lyapunov Exponent and Bifurcation Analysismentioning

confidence: 99%

Section: Se and C0 Complexitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Design of a new four-dimensional chaotic system and its application to color image encryption

Yan

Zhao³

2023

Preprint

Self Cite

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“…This makes the system not only more secure, but also more flexible when applying the system in engineering due to the adjustable sequence amplitude. More importantly finite time synchronization is used to synchronize fractional order chaotic systems, which reduces the constraints in practical applications by being time limited compared to the previously mentioned synchronization methods [53]. Table 1 presents a comparison of the existing system with the new system.…”

Section: Introductionmentioning

confidence: 99%

Finite-time synchronization of fractional-order chaotic system based on hidden attractors

Yan,

Zhang,

Jiang

et al. 2023

Phys. Scr.

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A new 3D fractional-order chaotic system is obtained by improving the Sprott-A system and introducing the definition of fractional calculus to it. Then the new system is certified to be chaotic by studying and analyzing the phase diagram, Lyapunov exponents, and smaller alignment index tests. Then the analysis of equilibrium points finds that the new system has virtually no equilibrium points and hidden attractors. The new system is dynamically analyzed by bifurcation diagram, time-domain waveform and complexity, it is indicated that the system is susceptible to initial conditions, and with the changes of different parameters the system produced different scroll types of attractors. In addition, to verify the feasibility of the system, a simulation circuit design based on Multisim is therefore carried out. Finally, the finite-time synchronization of the fractional-order system is successfully achieved by taking advantage of the high security of the hidden attractors.

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“…Hosny et al introduced a 4D hyperchaotic Chen system for color image encryption [16]. Yan et al presented a 5D fractional chaotic system synchronization, which could be a good choice for secure transmission [17]. A type-2 BELC was proposed for 3D Lorentz chaotic systems [18].…”

Section: Introductionmentioning

confidence: 99%

Wavelet Interval Type-2 Takagi-Kang-Sugeno Hybrid Controller for Time-Series Prediction and Chaotic Synchronization

et al. 2022

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This paper presents a new hybrid neural network for time series prediction and chaotic synchronization. The proposed controller consists of a wavelet interval type-2 Takagi Sugeno Kang fuzzy brain emotional learning controller (WIT2TFBELC), a wavelet interval type-2 Takagi Sugeno Kang fuzzy cerebellar model articulation controller (WIT2TFCMAC), and a robust compensator (RB). The main controller combines the WIT2TFBELC and the WIT2TFCMAC. A TSK fuzzy system is used to create a hybrid structure with the WIT2TFBELC and the WIT2TFCMAC. The TSK fuzzy system can effectively adjust the weighting for the main controller to achieve the time series prediction and chaotic prediction with better tracking response. Morever a robust compensator is used to achieve robust ability of the system. A Lyapunov function was used to establish the adaptive laws and effectively adjust the system parameters online. Finally, two examples of the application of the proposed algorithm are presented to point out the performance of proposed method.INDEX TERMS TSK fuzzy system, Interval type-2 wavelet function, brain emotional learning control, cerebellar model articulation controller, 5D chaotic system, Henon map time series.

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Multi-scroll fractional-order chaotic system and finite-time synchronization

Cited by 18 publications

References 69 publications

Design of a new four-dimensional chaotic system and its application to color image encryption

Design of a new four-dimensional chaotic system and its application to color image encryption

Finite-time synchronization of fractional-order chaotic system based on hidden attractors

Wavelet Interval Type-2 Takagi-Kang-Sugeno Hybrid Controller for Time-Series Prediction and Chaotic Synchronization

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