Complex dynamics of a non-volatile memcapacitor-aided hyperchaotic oscillator

Zhou, Wei; Wang, Guangyi; Iu, Herbert Ho-Ching; Shen, Yiran; Liang, Yan

doi:10.1007/s11071-020-05722-3

Cited by 26 publications

(8 citation statements)

References 12 publications

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“…For example, Zhou et al introduced a logarithmic memcapacitor into a Chua's chaotic circuit to establish a hyperchaotic oscillator. The memcapacitive circuit can trigger complex coexisting attractors, depending on various initial conditions, i.e., coexisting chaotic, hyperchaotic, and periodic attractors [20]. Ma et al built a novel simple chaotic circuit with a memristor, a memcapacitor, and an inductor in parallel and revealed rich dynamical behaviors, such as state transition, chaotic degradation, and multiple coexisting attractors [21].…”

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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“…Multi-stability is a special property of a chaotic system which means the existence of coexisting attractors for the same set of parameter values but different initial states. We show that the new chaotic jerk system exhibits multi-stability with coexisting chaotic attractors (Zhang et al, 2020;Zhou et al, 2020).…”

Section: Introductionmentioning

confidence: 92%

A new multistable jerk system with Hopf bifurcations, its electronic circuit simulation and an application to image encryption

Vaidyanathan

Moroz

Latif

et al. 2021

IJCAT

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In this work, we announce a new 3-D jerk system and show that it is chaotic and dissipative with the calculation of the Lyapunov exponents of the system. By performing a detailed bifurcation analysis, we observe that the new jerk system exhibits Hopf bifurcations. It is also shown that the new jerk system exhibits multistability behaviour with two coexisting chaotic attractors. An electronic circuit simulation of the jerk system is built using Multisim. Finally, we design a new approach to image encryption as a cryptographic application of our chaotic jerk system. The simulation outcomes prove the efficiency of the proposed encryption scheme with high security.

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“…Ref. [27] proposed a logarithmic charge-controlled memcapacitor model and verified it non-volatility and switching features. These simulating memcapacitors were mostly based on complex conversion circuit, which were prone to errors, and it is not easy to the analysis of the characteristics of the memcapacitor.…”

Section: Introductionmentioning

confidence: 95%

“…[22] designed a floating memcapacitor emulator, the circuit structure was simple and can be widely used in circuit design. Recently, researches based on memcapacitor have become a focus [26][27][28]. In Ref.…”

Section: Introductionmentioning

confidence: 99%

A novel memcapacitor and its application in a chaotic circuit

et al. 2021

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In this paper, a novel memcapacitor is designed by SBT memristor and two capacitors. A fifth-order memcapacitor and memristor chaotic circuit is proposed. The stability of the equilibrium point of the system is analyzed theoretically. Lyapunov exponents spectra, bifurcation diagrams, poincaré maps and phase diagrams are used to analyze the dynamic behaviors of the system. The results show that under different initial values and parameters, the system produces rich dynamic behaviors such as stable points, limit cycles, chaos, and so on. Specially, coexisting attractors, transient chaos, and steady-state chaos accompanied by burst period phenomenon are also produced in the system. The proposed memcapacitor-based circuit expands the research methods of memcapacitor for application in chaotic circuits.

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Complex dynamics of a non-volatile memcapacitor-aided hyperchaotic oscillator

Cited by 26 publications

References 12 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

A new multistable jerk system with Hopf bifurcations, its electronic circuit simulation and an application to image encryption

A novel memcapacitor and its application in a chaotic circuit

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