A 3D memristive chaotic system with conditional symmetry

Wang, Ran; Li, Chunbiao; Kong, Sixiao; Jiang, Yicheng; Lei, Tengfei

doi:10.1016/j.chaos.2022.111992

Cited by 49 publications

(9 citation statements)

References 29 publications

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“…64,65 The back emf (V p ) and the corresponding non-zero-crossing I-V characteristic indicate the pres- ence of an inherent nanobattery effect, 70,71 originating from the capacitive behaviour in these ATA NL samples, owing to the inhomogeneous charge carrier distribution within the alternate Al 2 O 3 /TiO 2 sublayers. 72 With the increase in T d from 150 to 300 °C, a gradual increment in V p from 100 mV to 700 mV, as depicted in the inset of Fig. 8a, indicates an increment in the capacitance of the NL structures and indirectly supports the steady improvement in the M-W interfacial polarization mechanism across the Al 2 O 3 / TiO 2 (insulating/semiconducting) interfaces.…”

Section: Current-voltage Characteristics Of Ata Nlsmentioning

confidence: 68%

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Process temperature-dependent interface quality and Maxwell–Wagner interfacial polarization in atomic layer deposited Al₂O₃/TiO₂ nanolaminates for energy storage applications

et al. 2023

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Section: Current-voltage Characteristics Of Ata Nlsmentioning

confidence: 68%

“…64,65 The back emf ( V p ) and the corresponding non-zero-crossing I – V characteristic indicate the presence of an inherent nanobattery effect, 70,71 originating from the capacitive behaviour in these ATA NL samples, owing to the inhomogeneous charge carrier distribution within the alternate Al 2 O 3 /TiO 2 sublayers. 72…”

Section: Resultsmentioning

confidence: 99%

Process temperature-dependent interface quality and Maxwell–Wagner interfacial polarization in atomic layer deposited Al₂O₃/TiO₂ nanolaminates for energy storage applications

et al. 2023

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“…From this view, when the offset boosting is completed by an absolute-value function, corresponding attractors can be doubled by the combination of polarity compensation. The mechanism is as explained in [63][64][65].…”

Section: Offset Boosting For Symmetric Pairs Of Strange Attractorsmentioning

confidence: 99%

Symmetric Strange Attractors: A Review of Symmetry and Conditional Symmetry

Jiang

et al. 2023

Symmetry

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A comprehensive review of symmetry and conditional symmetry is made from the core conception of symmetry and conditional symmetry. For a dynamical system, the structure of symmetry means its robustness against the polarity change of some of the system variables. Symmetric systems typically show symmetrical dynamics, and even when the symmetry is broken, symmetric pairs of coexisting attractors are born, annotating the symmetry in another way. The polarity balance can be recovered through combinations of the polarity reversal of system variables, and furthermore, it can also be restored by the offset boosting of some of the system variables if the variables lead to the polarity reversal of their functions. In this case, conditional symmetry is constructed, giving a chance for a dynamical system outputting coexisting attractors. Symmetric strange attractors typically represent the flexible polarity reversal of some of the system variables, which brings more alternatives of chaotic signals and more convenience for chaos application. Symmetric and conditionally symmetric coexisting attractors can also be found in memristive systems and circuits. Therefore, symmetric chaotic systems and systems with conditional symmetry provide sufficient system options for chaos-based applications.

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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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A 3D memristive chaotic system with conditional symmetry

Cited by 49 publications

References 29 publications

Process temperature-dependent interface quality and Maxwell–Wagner interfacial polarization in atomic layer deposited Al₂O₃/TiO₂ nanolaminates for energy storage applications

Process temperature-dependent interface quality and Maxwell–Wagner interfacial polarization in atomic layer deposited Al₂O₃/TiO₂ nanolaminates for energy storage applications

Symmetric Strange Attractors: A Review of Symmetry and Conditional Symmetry

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

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A 3D memristive chaotic system with conditional symmetry

Cited by 49 publications

References 29 publications

Process temperature-dependent interface quality and Maxwell–Wagner interfacial polarization in atomic layer deposited Al2O3/TiO2 nanolaminates for energy storage applications

Process temperature-dependent interface quality and Maxwell–Wagner interfacial polarization in atomic layer deposited Al2O3/TiO2 nanolaminates for energy storage applications

Symmetric Strange Attractors: A Review of Symmetry and Conditional Symmetry

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

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Product

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Process temperature-dependent interface quality and Maxwell–Wagner interfacial polarization in atomic layer deposited Al₂O₃/TiO₂ nanolaminates for energy storage applications

Process temperature-dependent interface quality and Maxwell–Wagner interfacial polarization in atomic layer deposited Al₂O₃/TiO₂ nanolaminates for energy storage applications