A mem-element Wien-Bridge circuit with amplitude modulation and three kinds of offset boosting

Du, Chuanhong; Liu, Licai; Zhang, Zhengping; Yu, Shixing

doi:10.1016/j.chaos.2022.112832

Cited by 8 publications

(6 citation statements)

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“…Licai Liu proposed a 3-D double-memristor system, which reveals the existence of multi-transient behaviors for the first time [18]. At present, different types of transient behavior have been found in various memristor chaotic systems, which fully proves that memristors can indeed improve the complexity of the system [40][41][42][43][44][45]. However, there are no reports on multi-transient or multistability in switched systems.…”

Section: Introductionmentioning

confidence: 98%

Complex dynamics analysis and feedback control for a memristive switched chaotic system

Shi,

Du,

Liu

2023

Phys. Scr.

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A switched chaotic system is proposed by connecting the memristor to the Rössler system through a time-switching function in this paper. Under the action of the switching function, the system can achieve switching between two subsystems with different structures. The switched system has super multiple coexisting attractors for different initial values, there are chaotic and quasi-periodic offset boosting, as well as various transient transition behaviors. It is interesting to note that besides the initial-dependent offset boosting, there are three other types of offset boosting behaviors, of which time-based offset boosting has not been found in other systems. In addition, the switching function can make the attractor self-replicate and produce intermittent chaos, and transient transition behavior also occurs in a short time during the intermittent process. These findings indicate that the switched system has complex dynamic characteristics. Both analog and DSP digital circuits confirm the physical feasibility of the novel offset-boosting behavior. Finally, to further implement the switched system in engineering applications, we designed a feedback controller. Matlab numerical calculations and Multisim circuit simulation demonstrate that the state variables of each subsystem can be well controlled under the action of the feedback controller.

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Section: Introductionmentioning

confidence: 98%

Complex dynamics analysis and feedback control for a memristive switched chaotic system

Shi,

Du,

Liu

2023

Phys. Scr.

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“…The polarity inversion of chaotic sequences has long been a challenging task in chaos applications [26,27]. Polarity inversion involves changing the positive and negative polarity of a chaotic signal, essentially reversing the sign of its amplitude.…”

Section: Introductionmentioning

confidence: 99%

A 5-D memristive hyperchaotic system with extreme multistability and its application in image encryption

Dong,

Bai,

Zhu

2024

Phys. Scr.

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By coupling memristors to nonlinear circuits, more complex dynamical behaviors can be induced. However, to date, there has been insufficient attention given to high-dimensional chaotic systems based on memristors. In this paper, a magnetic-controlled memristor is combined with a three-dimensional chaotic system, resulting in a five-dimensional memristive chaotic system. Through dynamic analysis and numerical simulations, the chaotic nature of the system is elucidated based on fundamental system behaviors, including Lyapunov dimension, dissipativity, stability of equilibrium points, 0-1 test, and Poincaré mapping. During the complex dynamical analysis of this system, unique dynamical behaviors are discovered, including intermittent chaos, transient chaos, extreme multistability, and offset-boosting. Moreover, the consistency between numerical calculations and the physical implementation of the actual system is verified through equivalent circuit design. Finally, this system is applied to image encryption, leading to the design of an efficient and secure hyper-chaotic image encryption algorithm, whose effectiveness is confirmed through several security tests

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“…Multistability of the new hyperchaotic system is carried out in Section 4. Offset boosting is a useful control topic for engineers due to its broadband feature and polarity control 15 . Offset boosting control of the new hyperchaotic system is discussed in Section 5.…”

Section: Introductionmentioning

confidence: 99%

“…topic for engineers due to its broadband feature and polarity control. 15 Offset boosting control of the new hyperchaotic system is discussed in Section 5.…”

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confidence: 99%

A new 4‐D hyperchaotic two‐scroll system with hidden attractor and its field‐programmable gate array implementation

Vaidyanathan,

Benkouider,

Ovilla‐Martinez

et al. 2023

Circuit Theory & Apps

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SummaryThis research work reports the finding of a new 4‐D hyperchaotic two‐scroll system having three second‐order nonlinear terms. It is detailed that the system does not have any rest point for non‐zero values of the system parameters. Thus, we deduce that the new hyperchaotic system has a hidden attractor. The main findings of the new hyperchaotic system include a detailed bifurcation analysis, coexisting attractors, and offset‐boosting control. The new 4‐D hyperchaotic two‐scroll system with hidden attractor is prototyped using the field‐programmable gate array (FPGA) Zybo Z7‐20 development board, Xilinx Vivado tool, and the hardware description by VHDL. It is highlighted that the simulation of the circuit design, and the experimental results from the FPGA synthesis, all of them are in good agreement with theoretical simulations.

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A mem-element Wien-Bridge circuit with amplitude modulation and three kinds of offset boosting

Cited by 8 publications

References 50 publications

Complex dynamics analysis and feedback control for a memristive switched chaotic system

Complex dynamics analysis and feedback control for a memristive switched chaotic system

A 5-D memristive hyperchaotic system with extreme multistability and its application in image encryption

A new 4‐D hyperchaotic two‐scroll system with hidden attractor and its field‐programmable gate array implementation

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