A novel memcapacitor and its application in a chaotic circuit

Guo, Mei; Yang, Ran; Zhang, Meng; Liu, Renyuan; Zhu, Ye; Dou, Gang

doi:10.1007/s11071-021-06627-5

Cited by 18 publications

(6 citation statements)

References 33 publications

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“…Memcapacitive devices can be realized through the implementation of a variable plate distance and surface area [9], and a metal-insulator transition material in series with a dielectric layer [10]. These physical implementations have greatly promoted the research on the applications of memcapacitor elements [11][12][13]. A memcapacitor-based oscillator can be established by introducing a memcapacitor into an existing oscillating circuit or combining it with other circuit elements [14][15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Extreme Multistability and Its Incremental Integral Reconstruction in a Non-Autonomous Memcapacitive Oscillator

et al. 2022

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Extreme multistability has frequently been reported in autonomous circuits involving memory-circuit elements, since these circuits possess line/plane equilibrium sets. However, this special phenomenon has rarely been discovered in non-autonomous circuits. Luckily, extreme multistability is found in a simple non-autonomous memcapacitive oscillator in this paper. The oscillator only contains a memcapacitor, a linear resistor, a linear inductor, and a sinusoidal voltage source, which are connected in series. The memcapacitive system model is firstly built for further study. The equilibrium points of the memcapacitive system evolve between a no equilibrium point and a line equilibrium set with the change in time. This gives rise to the emergence of extreme multistability, but the forming mechanism is not clear. Thus, the incremental integral method is employed to reconstruct the memcapacitive system. In the newly reconstructed system, the number and stability of the equilibrium points have complex time-varying characteristics due to the presence of fold bifurcation. Furthermore, the forming mechanism of the extreme multistability is further explained. Note that the initial conditions of the original memcapacitive system are mapped onto the controlling parameters of the newly reconstructed system. This makes it possible to achieve precise control of the extreme multistability. Furthermore, an analog circuit is designed for the reconstructed system, and then PSIM circuit simulations are performed to verify the numerical results.

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Section: Introductionmentioning

confidence: 99%

Extreme Multistability and Its Incremental Integral Reconstruction in a Non-Autonomous Memcapacitive Oscillator

et al. 2022

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“…For the chaotic system, transient transition may be more significance than the steady state [28,29]. Guo et al [30] found transient chaos in memristive chaotic circuit, highlighting its dynamic behavior during the transitional phase. Bao et al [31] found the transient period in the memristive hyperchaotic system.…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis based on a memristive hyperchaotic system with stable unfixed point and its synchronization application

Zhu,

Bai,

Dong

2024

Phys. Scr.

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A novel two-memristor hyperchaotic system is obtained by introducing a cubic magnetic-controlled memristor and a hyperbolic sine function memristor. The dynamics of the new system are analyzed by various techniques such as Lyapunov exponents, complexity, 0-1 test, bifurcation diagram and phase diagram. The results demonstrate that the new system exhibits complex dynamic behaviors, including transient chaos, transient transition, intermittent chaos, and offset-boosting. Notably, a rare phenomenon with stable unfixed point has been discovered in this newly proposed system. The largest Lyapunov exponent of the stable unfixed point fluctuates around 0 and remains predominantly less than or equal to 0. Despite this, the new system still partially exhibits chaotic characteristics, indicating that the stable unfixed point can be regarded as a local chaotic attractor. Furthermore, there are four types of coexisting attractors with period-period, chaos-chaos, chaos-stable unfixed point and stable unfixed point-stable unfixed point in the new system. The circuit design is implemented to validate the accuracy of the memristive chaotic system, and the consistency between numerical calculations and simulation results is confirmed. Finally, the coupling synchronization and tracking synchronization methods are designed, which hold practical applications in the field of secure communication, control systems and signal processing.

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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

Dou,

Guo,

et al. 2024

Eur. Phys. J. Plus

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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 novel memcapacitor and its application in a chaotic circuit

Cited by 18 publications

References 33 publications

Extreme Multistability and Its Incremental Integral Reconstruction in a Non-Autonomous Memcapacitive Oscillator

Extreme Multistability and Its Incremental Integral Reconstruction in a Non-Autonomous Memcapacitive Oscillator

Dynamic analysis based on a memristive hyperchaotic system with stable unfixed point and its synchronization application

Dynamics analysis of memristor chaotic circuit with coexisting hidden attractors

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