Constructing conditional symmetry in symmetric chaotic systems

Li, Chunbiao; Sprott, Julien Clinton; Zhang, Xin; Chai, Lin; Liu, Zuohua

doi:10.1016/j.chaos.2021.111723

Cited by 31 publications

(9 citation statements)

References 32 publications

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“…The algorithm has a considerable secret key-space which shows its solid ability to resist brute-force attacks. The experiments indicate that VSEA could eliminate the correlation between pixels in the frame image [33][34][35][36]. Meanwhile, the proposed algorithm is also sensitive to the slight change in the image because a bit of difference could destroy the encryption result.…”

Section: Discussionmentioning

confidence: 95%

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A novel hyperchaotic map and its application in fast video encryption

Li¹,

Ge²,

Li³

et al. 2022

Phys. Scr.

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By the combined feedback of exponential, cubic and sinusoidal nonlinearity, a hyperchaotic map is constructed, which has the distinct features as providing two unipolar hyperchaotic sequences and large area of hyperchaotic orbit. A fast video encryption algorithm that adopted the permutation-diffusion-permutation strategy was developed consequently based on the hyperchaotic system. Each frame image obtained from the video stream is encrypted by the algorithm in real time. To accelerate the encryption, the frame image are encrypted in parallel. Experiment results and security analysis confirm the good security, robustness, and effectiveness of the encryption algorithm.

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Section: Discussionmentioning

confidence: 95%

“…When (x 0 , y 0 )=(0.15, 0.25) and b varies in [1.1, 1.4], dynamical evolvement [34][35][36] 1. The video stream data is first extracted frame by frame.…”

Section: Bifurcation Analysismentioning

confidence: 99%

A novel hyperchaotic map and its application in fast video encryption

Li¹,

Ge²,

Li³

et al. 2022

Phys. Scr.

Self Cite

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“…At the same time, in the process of parameter mediation, it is found that it has many different types of chaotic attractors, which has been relatively rare in the past. In addition, the system also has a variety of complex dynamic phenomena, including a multi-wing chaotic attractor [31][32][33], symmetric chaotic attractor [34][35][36], chaotic degradation, coexisting attractor and so on. Offset boosting [37][38][39] is also a feature of the system, which means that the system can be controlled flexibly through the introduction of feedback states.…”

Section: Mathematical Modelmentioning

confidence: 99%

Dynamic Analysis and DSP Implementation of Memristor Chaotic Systems with Multiple Forms of Hidden Attractors

2022

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In this paper, a new six dimensional memristor chaotic system is designed by combining the chaotic system with a memristor. By analyzing the phase diagram of the chaotic attractors, eleven different attractors are found, including a multi-wing attractor and symmetric attractors. By analyzing the equilibrium point of the system, it is proven that the system has the property of a hidden chaotic attractor. The dynamic behavior of the system when the three parameters change is analyzed by means of LEs and a Bifurcation diagram. Other phenomenon, such as chaos degradation, coexistence of multiple attractors and bias boosting, are also found. Finally, the simulation on the DSP platform also verifies the accuracy of the chaotic system simulation. The theoretical analysis and simulation results show that the system has rich dynamical characteristics; therefore, it is suitable for secure communication and image encryption and other fields.

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“…Furthermore, chaotic signal needs conditioning before application including amplitude control and offset boosting [12][13][14]. Fortunately, some special chaotic systems can output chaotic signals with the control of amplitude, offset, or amplitude combined with frequency [15][16][17][18]. Chaotic signal with controllable amplitude and frequency can benefit secure communication for its flexible output.…”

Section: Introductionmentioning

confidence: 99%

A compact multi-output chaotic system with amplitude/frequency control

Li¹,

Li²,

Zhang³

et al. 2023

Phys. Scr.

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A compact switchable chaotic oscillator is proven with great benefit for chaos-based application. The multifarious chaotic signals with multiple amplitude and frequency can save the circuit modules for signal conditioning. By introducing more linear terms in those chaotic systems with amplitude/frequency control, a compact multi-output chaotic system is derived and corresponding simplified circuit is constructed, where only two multipliers are employed in the simplified circuit avoiding the overusing of integrated components. Simplified chaotic circuit outputs more applicable chaotic signals for chaos-based engineering. Circuit simulation proves the convenience for outputting desired oscillations.

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Constructing conditional symmetry in symmetric chaotic systems

Cited by 31 publications

References 32 publications

A novel hyperchaotic map and its application in fast video encryption

A novel hyperchaotic map and its application in fast video encryption

Dynamic Analysis and DSP Implementation of Memristor Chaotic Systems with Multiple Forms of Hidden Attractors

A compact multi-output chaotic system with amplitude/frequency control

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