Vibrational resonance and ghost-vibrational resonance occurrence in Chua’s circuit models with specific nonlinearities

Usama, B.I.; Morfu, Savério; Marquié, Patrick

doi:10.1016/j.chaos.2021.111515

Cited by 15 publications

(3 citation statements)

References 43 publications

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“…Due to the signals of different time scales widely exist in various types of natural and artificial systems, such VR phenomena caused by two-frequency signals have gradually attracted the attention of researchers. Meanwhile, VR has been widely studied in nonlinear systems including position-dependent mass oscillator systems [12], bistable systems [13][14][15][16], periodic systems [17][18][19], systems under entropic and energetic potentials [20,21], and various Chua's circuits [22][23][24].…”

Section: Introductionmentioning

confidence: 99%

“…Due to the advantages of smooth characteristics in the study of nonlinear circuits, this type of the nonlinear resistors with smooth characteristics have been widely used in various types of nonlinear systems, for instance, dissipative Toda-Rayleigh systems [40], fractional order Chua's systems [41], and active topological circuits [42]. Usama et al [23] have investigated the effect of VR in the original Chua's circuit with smooth nonlinear characteristic by numerical simulations, but effects of the smoothness property on VR has not been investigated experimentally. Therefore, we will conduct the first experimental study of VR in the canonical Chua's circuit composed of a smooth nonlinear resistor.…”

Section: Introductionmentioning

confidence: 99%

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Vibrational resonance and chaos control in the canonical Chua's circuit with a smooth nonlinear resistor

Li,

Liu,

2024

Preprint

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Vibrational resonance and chaos control in the canonical Chua's circuit with a smooth cubic nonlinear resistoris investigated by an analog circuit experiment and a dynamical model. When other parameters are fixed, changingthe amplitude and the frequency of the high-frequency signal can make the system's response amplitude to thelow-frequency weak signal exists a wide peak. The phase diagram of the system will transition from a single-scrollattractor to a double-scroll attractor when the amplitude of the high-frequency signal reaches the critical valueto achieve vibrational resonance. In particular, the maximum of the system's response amplitude is insusceptiblewhen the frequency of the high-frequency signal varies over a broad range, which indicates the strong robustnessof the vibrational resonance in the present system. The experimental results are coincident with the numericalsimulations. This research has potential applications in chaos control and weak signal detection.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Vibrational resonance and chaos control in the canonical Chua's circuit with a smooth nonlinear resistor

Li,

Liu,

2024

Preprint

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“…This counterintuitive effect is vibrational resonance (VR). Due to the signals of different time scales widely exist in various types of natural and artificial systems, VR has been intensively studied in nonlinear systems including monostable systems [10], bistable systems [11][12][13], neuron systems [14,15], systems under entropic and energetic potentials [16,17] and various Chua's circuits [18][19][20]. In all of the systems mentioned above, Chua's circuit has been considered as one of the most simplest and widely investigated nonlinear circuits.…”

mentioning

confidence: 99%

Vibrational resonance in the canonical Chua's circuit with a smooth nonlinear resistor

Liu

2022

Preprint

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Vibrational resonance in the canonical Chua’s circuit with a smooth cubic nonlinear resistor is investigated by an analog circuit experiment and a dynamical model. When other parameters are fixed, changing the amplitude and the frequency of the high-frequency signal can make the system’s response amplitude to the low-frequency weak signal exists a wide peak. The phase diagram of the system will transition from a single-scroll attractor to a double-scroll attractor when the amplitude of the high-frequency signal reaches the critical value to achieve vibrational resonance. In particular, the maximum of the system’s response amplitude is insusceptible when the frequency of the high-frequency signal varies over a broad range, which indicates the strong robustness of the vibrational resonance in the present system. The experimental results are coincident with the numerical simulations. This research has potential applications in chaos control and weak signal detection.

show abstract

Vibration resonance and fork bifurcation of under-damped Duffing system with fractional and linear delay terms

et al. 2023

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Vibrational resonance and ghost-vibrational resonance occurrence in Chua’s circuit models with specific nonlinearities

Cited by 15 publications

References 43 publications

Vibrational resonance and chaos control in the canonical Chua's circuit with a smooth nonlinear resistor

Vibrational resonance and chaos control in the canonical Chua's circuit with a smooth nonlinear resistor

Vibrational resonance in the canonical Chua's circuit with a smooth nonlinear resistor

Vibration resonance and fork bifurcation of under-damped Duffing system with fractional and linear delay terms

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