Multistability in a physical memristor-based modified Chua’s circuit

Guo, Mei; Yang, Wenyan; Xue, Youbao; Gao, Zhenhao; Yuan, Fang; Dou, Gang; Li, Yuxia

doi:10.1063/1.5089293

Cited by 27 publications

(12 citation statements)

References 37 publications

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“…By introducing memristors with different nonlinearities into existing circuits, a large number of circuits based on memristor have been proposed and very fruitful results have been obtained [ 32 , 33 , 34 , 35 , 36 , 37 , 38 ]. For example, complex dynamic behaviors have been discovered in various memristor-based circuits, including multistability [ 39 ], transient chaos [ 40 ], and hyperchaos [ 41 ]. Although the research of memristor is more and more abundant now, there are few applications in the experimental teaching system of Electrical and Electronic Technology.…”

Section: Introductionmentioning

confidence: 99%

RC Bridge Oscillation Memristor Chaotic Circuit for Electrical and Electronic Technology Extended Simulation Experiment

et al. 2023

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The fourth basic circuit component, the memristor, has been proposed for a long time, but it is not mentioned in the experiment teaching system of Electrical and Electronic Technology. In this paper, an RC bridge oscillation chaotic circuit based on memristor is designed to solve this problem. The dynamical behavior of the circuit system is analyzed using Lyapunov exponents spectrum, bifurcation diagram, phase portrait and Poincaré map. A series of complex dynamical behaviors such as symmetric single-scroll coexistence, asymmetrical single-scroll coexistence, symmetric double-scroll coexistence and asymmetrical limit–cycle coexistence exist in the circuit system. This research plays a critical role in enriching students’ knowledge and improving the experiment teaching system of Electrical and Electronic Technology.

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Section: Introductionmentioning

confidence: 99%

RC Bridge Oscillation Memristor Chaotic Circuit for Electrical and Electronic Technology Extended Simulation Experiment

et al. 2023

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“…Some interesting dynamic phenomena were also observed in the memristor chaotic circuit [15][16][17][18]. For example, multistability is a common phenomenon in many nonlinear dynamical systems [19][20][21][22][23][24][25]. In Ref.…”

Section: Introductionmentioning

confidence: 99%

Dynamics Analysis of Memristor Chaotic Circuit with Coexisting Hidden Attractors

Guo

Zhao

Liu

et al. 2022

Preprint

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In this paper, a novel Sr 0.97 Ba 0.03 TiO 3-δ memristor-based fifth-order chaotic circuit was proposed. A new cubic nonlinear magnetic control model was established by analyzing the measured data. The equilibrium points and its stability of the circuit system were analyzed by the Jacobi matrix method, and the effects of the initial states and circuit parameters on the system were discussed though methods of Lyapunov exponents spectra, bifurcation diagrams, phase diagrams, and poincaré maps. The results show that the chaotic circuit can produce complex dynamic phenomena with the variation of initial states and circuit parameters. The dynamic phenomena such as coexisting attractors have been discovered. In particular, coexisting hidden attractors were generated in the chaotic circuit, which was of great significance in engineering applications.

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“…A memristor is a non-linear element. A chaotic system constructed by the memristor can improve the unpredictability and complexity of the system [6][7][8][9][10]. Applying a memristive chaotic system is also one of the research hotspots [11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Parameter Identification for Memristive Chaotic System Using Modified Sparrow Search Algorithm

Xiong

Shen²,

Bing³

et al. 2022

Front. Phys.

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A memristor is a non-linear element. The chaotic system constructed by it can improve its unpredictability and complexity. Parameter identification of a memristive chaotic system is the primary task to implement chaos control and synchronization. To identify the unknown parameters accurately and quickly, we introduce the Sine Pareto Sparrow Search Algorithm (SPSSA), a modified sparrow search algorithm (SSA). in this research. Firstly, we introduce the Pareto distribution to alter the scroungers’ location in the SSA. Secondly, we use a sine-cosine strategy to improve the producers’ position update. These measures can effectively accelerate the convergence speed and avoid local optimization. Thirdly, the SPSSA is used to identify the parameters of a memristive chaotic system. The proposed SPSSA exceeds the classic SSA, particle swarm optimization algorithm (PSO), and artificial bee colony algorithm (ABC) in simulations based on the five benchmark functions. The simulation results of parameter identification of a memristive chaotic system show that the method is feasible, and the algorithm has a fast convergence speed and high estimation accuracy.

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Multistability in a physical memristor-based modified Chua’s circuit

Cited by 27 publications

References 37 publications

RC Bridge Oscillation Memristor Chaotic Circuit for Electrical and Electronic Technology Extended Simulation Experiment

RC Bridge Oscillation Memristor Chaotic Circuit for Electrical and Electronic Technology Extended Simulation Experiment

Dynamics Analysis of Memristor Chaotic Circuit with Coexisting Hidden Attractors

Parameter Identification for Memristive Chaotic System Using Modified Sparrow Search Algorithm

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