Characteristic analysis of the fractional-order hyperchaotic complex system and its image encryption application

Yang, Feifei; Mou, Jun; Liu, Jian; Ma, Chenguang; Yan, Hao

doi:10.1016/j.sigpro.2019.107373

Cited by 138 publications

(59 citation statements)

References 41 publications

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“…To make the demonstration simpler, multistability associated with symmetry is ignored this time. When b = 13, c = 1.72, d = 1, e = 1, f = 1 with initial condition (1, −1, −1, 1), Lyapunov exponent spectra and bifurcation diagram of parameter a in [1,5] are shown in Fig.4, where a typical period-doubling process shows up. Typical periodic phase trajectories are shown in positive correlation with amplitude and frequency in a limited range.…”

Section: B Bifurcation Analysismentioning

confidence: 99%

“…When the initial condition is set to (1, −1, −1, 1), a green single-wing chaotic orbit can be obtained in the top left corner of the x-y plane. By changing the initial value of system (1) to IC2 = (−1, 1, −1, 1), IC3 = (1, 1, 1, 1), IC4 = (−1, −1, 1, 1), corresponding attractors appear in different positions on the x-y plane, as shown in Figure 12 (a). Obviously, the bottom left, top right and bottom right corner of a single-wing chaotic orbit can be obtained by symmetrically rotating the green orbit.…”

Section: Multistability Of Broken Symmetrymentioning

confidence: 99%

“…Chaos is a common issue in image encryption [1], [2], secure communication engineering [3], [4], and other scientific disciplines [5], [6]. The difficulty of controlling broadband chaotic signal has been in the focus for many years [7]- [11] and corresponding research on amplitude [7], [8] and offset [9]- [11] has been widely noticed aiming to break through the restriction of physical devices.…”

Section: Introductionmentioning

confidence: 99%

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Broken Symmetry in a Memristive Chaotic Oscillator

Zhang

Min

et al. 2020

IEEE Access

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A generalized memristor is introduced in Liu-Chen chaotic system for amplitude control. Different from other chaotic systems, the oscillation behavior can be rescaled in amplitude and frequency by three independent controllers. One controls the amplitude of two related variables, and the other two control both amplitude and frequency of some variables. More distinctively, the proposed memristive chaotic system shows abundant coexisting pairs of attractors under the condition of broken symmetry. The circuit experiment based on Multisim agrees with the numerical exploration.

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Section: B Bifurcation Analysismentioning

confidence: 99%

Section: Multistability Of Broken Symmetrymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Broken Symmetry in a Memristive Chaotic Oscillator

Zhang

Min

et al. 2020

IEEE Access

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“…The associate editor coordinating the review of this manuscript and approving it for publication was Hassen Ouakad . can increase the content and security of the transmitted information [12], [20].…”

Section: Introductionmentioning

confidence: 99%

Dynamic Analysis of a One-Parameter Chaotic System in Complex Field

Zhao

Liu

et al. 2020

IEEE Access

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Chaotic dynamics analysis of complex-variable chaotic systems (CVCSs) is an important problem in real secure communication and encryption. In this paper, a simple one-parameter chaotic system in complex field is proposed, whose nonlinear terms are the same as Lorenz system but the linear terms are much simpler. The proposed system has circular equilibria and therefore multi-stability can be measured by phase portraits, bifurcation diagrams and Lyapunov exponent spectrum. Its basin of attraction is filled with initial points leading to chaotic behaviors. The coexistence of infinitely many attractors is found in the proposed system, which is not reported in the existing complex-variable Lorenz system. Finally, two complexity indexes are used to measure dynamic characteristic with respect to parameter. INDEX TERMS Coexisting attractors, extreme multistability, complex-variable chaotic system, complexity.

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“…It is one of the ways to realize artificial intelligence. Since 1980s, the research of neural network has made great progress [7][8][9][10]. Neural network synchronization research is one of the most important research directions of the neural network.…”

Section: Introductionmentioning

confidence: 99%

Synchronization of Time Delay Coupled Neural Networks Based on Impulsive Control

Fang

Yin

et al. 2020

Mathematical Problems in Engineering

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This paper investigates the impulsive synchronization of time delay coupled neural networks. Based on the Lyapunov stability theory and impulsive control method, a distributed delayed impulsive controller is designed to realize synchronization of the coupled neural networks. A new impulsive delayed inequality is proposed, where the control effect of distributed delayed impulses is fully considered. In addition, a suitable Lyapunov-like function is established to prove the stability of the synchronization system. Numerical simulation examples are introduced to illustrate the effectiveness and feasibility of the main results.

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Characteristic analysis of the fractional-order hyperchaotic complex system and its image encryption application

Cited by 138 publications

References 41 publications

Broken Symmetry in a Memristive Chaotic Oscillator

Broken Symmetry in a Memristive Chaotic Oscillator

Dynamic Analysis of a One-Parameter Chaotic System in Complex Field

Synchronization of Time Delay Coupled Neural Networks Based on Impulsive Control

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