On the Weak Signal Amplification by Twice Sampling Vibrational Resonance Method in Fractional Duffing Oscillators

2018 ◽  
Vol 13 (3) ◽  
Author(s):  
Jin-Rong Yang ◽  
Cheng-Jin Wu ◽  
Jian-Hua Yang ◽  
Hou-Guang Liu
Keyword(s):  
Fractional Order ◽  
High Frequency ◽  
Signal Amplification ◽  
Resonance Method ◽  
Weak Signal ◽  
Physical Processes ◽  
Vibrational Resonance ◽  
External Signals

In our former work developed by Yang et al. (2017, “Enhancing the Weak Signal With Arbitrary High-Frequency by Vibrational Resonance in Fractional-Order Duffing Oscillators,” ASME J. Comput. Nonlinear Dyn., 12(5), p. 051011), we put forward the rescaled vibrational resonance (VR) method in fractional duffing oscillators to amplify a weak signal with arbitrary high frequency. In the present work, we propose another method named as twice sampling VR to achieve the same goal. Although physical processes of two discussed methods are different, the results obtained by them are identical completely. Besides the two external signals excitation case, the validity of the new proposed method is also verified in the system that is excited by an amplitude modulated signal. Further, the dynamics of the system reveals that the resonance performance, i.e., the strength and the pattern, depends on the fractional order closely.

Enhancing the Weak Signal With Arbitrary High-Frequency by Vibrational Resonance in Fractional-Order Duffing Oscillators

2017 ◽  
Vol 12 (5) ◽  
Author(s):  
J. H. Yang ◽  
Miguel A. F. Sanjuán ◽  
H. G. Liu
Keyword(s):  
Fractional Order ◽  
High Frequency ◽  
Low Frequency ◽  
Original System ◽  
Scale Transformation ◽  
Weak Signal ◽  
Vibrational Resonance ◽  
High Frequency Signal ◽  
System A ◽  
Auxiliary Signal

When the traditional vibrational resonance (VR) occurs in a nonlinear system, a weak character signal is enhanced by an appropriate high-frequency auxiliary signal. Here, for the harmonic character signal case, the frequency of the character signal is usually smaller than 1 rad/s. The frequency of the auxiliary signal is dozens of times of the frequency of the character signal. Moreover, in the real world, the characteristic information is usually indicated by a weak signal with a frequency in the range from several to thousands rad/s. For this case, the weak high-frequency signal cannot be enhanced by the traditional mechanism of VR, and as such, the application of VR in the engineering field could be restricted. In this work, by introducing a scale transformation, we transform high-frequency excitations in the original system to low-frequency excitations in a rescaled system. Then, we make VR to occur at the low frequency in the rescaled system, as usual. Meanwhile, the VR also occurs at the frequency of the character signal in the original system. As a result, the weak character signal with arbitrary high-frequency can be enhanced. To make the rescaled system in a general form, the VR is investigated in fractional-order Duffing oscillators. The form of the potential function, the fractional order, and the reduction scale are important factors for the strength of VR.

On the Aperiodic Signal Amplification by Rescaled Vibrational Resonance in Fractional-Order Duffing Oscillators

2020 ◽  
Vol 15 (7) ◽  
Author(s):  
Pengxiang Jia ◽  
Yonggang Leng ◽  
Jianhua Yang
Keyword(s):  
Fractional Order ◽  
High Frequency ◽  
Signal Amplification ◽  
Vibrational Resonance ◽  
System Parameters ◽  
Amplification Method ◽  
Signal Parameters ◽  
Practical Engineering ◽  
Common Signal ◽  
Aperiodic Signal

Abstract In the former works of Yang et al., they put forward two vibrational resonance (VR) methods in fractional Duffing oscillators to amplify the weak harmonic character signal with arbitrary high-frequency. Moreover, the aperiodic character signal is also a common signal form in practical engineering. For the “fast-changing” aperiodic character signal in time domain, the classical VR method is difficult to amplify it effectively. To solve this problem, an aperiodic signal amplification method based on rescaled VR in fractional-order Duffing oscillators is proposed. Take the bipolar binary random signals with arbitrary minimal pulse width as an example, the rescaled VR under the overdamped and underdamped conditions can be realized by matching the signal parameters and system parameters effectively, and the amplification of aperiodic signal can be achieved.

scholarly journals Vibrational resonance in a neuron–astrocyte coupled model

2021 ◽  
Vol 379 (2198) ◽  
Author(s):  
Ali Calim ◽  
Andre Longtin ◽  
Muhammet Uzuntarla
Keyword(s):  
High Frequency ◽  
Resonance Effect ◽  
Coupled Model ◽  
Underlying Mechanism ◽  
Weak Signal ◽  
Weak Signal Detection ◽  
Theme Issue ◽  
Vibrational Resonance ◽  
Key Factor ◽  
And Control

Recent findings have revealed that not only neurons but also astrocytes, a special type of glial cells, are major players of neuronal information processing. It is now widely accepted that they contribute to the regulation of their microenvironment by cross-talking with neurons via gliotransmitters. In this context, we here study the phenomenon of vibrational resonance in neurons by considering their interaction with astrocytes. Our analysis of a neuron–astrocyte pair reveals that intracellular dynamics of astrocytes can induce a double vibrational resonance effect in the weak signal detection performance of a neuron, exhibiting two distinct wells centred at different high-frequency driving amplitudes. We also identify the underlying mechanism of this behaviour, showing that the interaction of widely separated time scales of neurons, astrocytes and driving signals is the key factor for the emergence and control of double vibrational resonance. This article is part of the theme issue ‘Vibrational and stochastic resonance in driven nonlinear systems (part 2)’.

scholarly journals Erratum to: “Influence of external conditions on physical processes and plasma parameters in a model of a high-frequency hybrid plasma system”

2017 ◽  
Vol 46 (4) ◽  
pp. 299-299
Author(s):  
A. F. Aleksandrov ◽  
A. K. Petrov ◽  
K. V. Vavilin ◽  
E. A. Kral’kina ◽  
P. A. Neklyudova ◽  
...  
Keyword(s):  
High Frequency ◽  
Physical Processes ◽  
Plasma Parameters ◽  
Plasma System ◽  
Hybrid Plasma ◽  
External Conditions

Hearing Foreign Voices: Does Knowing What is Said Affect Visual-Masked-Speech Detection?

Perception ◽  
10.1068/p3466 ◽  
2003 ◽  
Vol 32 (1) ◽  
pp. 111-120 ◽  
Author(s):  
Jeesun Kim ◽  
Chris Davis
Keyword(s):  
High Frequency ◽  
Signal Amplification ◽  
Inhibitory Effect ◽  
Cognitive Factors ◽  
Large Impact ◽  
Perceptual Integration ◽  
Speech Detection ◽  
Detection Ability ◽  
Sensory Enhancement ◽  
Highly Correlated

We investigated audio-visual (AV) perceptual integration by examining the effect of seeing the speaker's synchronised moving face on masked-speech detection ability. Signal amplification and higher-level cognitive accounts of an AV advantage were contrasted, the latter by varying whether participants knew the language of the speaker. An AV advantage was shown for sentences whose mid-to-high-frequency acoustic envelope was highly correlated with articulator movement, regardless of knowledge of the language. For low-correlation sentences, knowledge of the language had a large impact; for participants with no knowledge of the language an AV inhibitory effect was found (providing support for reports of a compelling AV illusion). The results indicate a role for both sensory enhancement and higher-level cognitive factors in AV speech detection.

Vibrational Resonance in an Overdamped System with a Fractional Order Potential Nonlinearity

2018 ◽  
Vol 28 (07) ◽  
pp. 1850082 ◽  
Author(s):  
Jianhua Yang ◽  
Dawen Huang ◽  
Miguel A. F. Sanjuán ◽  
Houguang Liu
Keyword(s):  
Numerical Simulation ◽  
Nonlinear System ◽  
Theoretical Analysis ◽  
Fractional Order ◽  
Low Frequency ◽  
Response Amplitude ◽  
Resonance Phenomenon ◽  
Vibrational Resonance ◽  
Frequency Excitation ◽  
Overdamped System

We investigate the vibrational resonance by the numerical simulation and theoretical analysis in an overdamped system with fractional order potential nonlinearities. The nonlinearity is a fractional power function with deflection, in which the response amplitude presents vibrational resonance phenomenon for any value of the fractional exponent. The response amplitude of vibrational resonance at low-frequency is deduced by the method of direct separation of slow and fast motions. The results derived from the theoretical analysis are in good agreement with those of numerical simulation. The response amplitude decreases with the increase of the fractional exponent for weak excitations. The amplitude of the high-frequency excitation can induce the vibrational resonance to achieve the optimal response amplitude. For the overdamped systems, the nonlinearity is the crucial and necessary condition to induce vibrational resonance. The response amplitude in the nonlinear system is usually not larger than that in the corresponding linear system. Hence, the nonlinearity is not a sufficient factor to amplify the response to the low-frequency excitation. Furthermore, the resonance may be also induced by only a single excitation acting on the nonlinear system. The theoretical analysis further proves the correctness of the numerical simulation. The results might be valuable in weak signal processing.

Evolution of the MHD turbulence properties in the inner heliosphere with the PSP/SolO alignment data

2021 ◽  
Author(s):  
Daniele Telloni ◽  
Keyword(s):  
Solar Wind ◽  
High Frequency ◽  
Interplanetary Space ◽  
Solar Wind Plasma ◽  
Radial Dependence ◽  
Physical Processes ◽  
Temperature Anisotropy ◽  
Mhd Turbulence ◽  
Radial Evolution ◽  
Inner Heliosphere

<p>Radial alignments between pairs of spacecraft is the only way to observationally investigate the turbulent evolution of the solar wind as it expands throughout interplanetary space. On September 2020 Parker Solar Probe (PSP) and Solar Orbiter (SolO) were nearly perfectly radially aligned, with PSP orbiting around its perihelion at 0.1 au (and crossing the nominal Alfvén point) and SolO at 1 au. PSP/SolO joint observations of the same solar wind plasma allow the extraordinary and unprecedented opportunity to study how the turbulence properties of the solar wind evolve in the inner heliosphere over the wide distance of 0.9 au. The radial evolution of (i) the MHD properties (such as radial dependence of low- and high-frequency breaks, compressibility, Alfvénic content of the fluctuations), (ii) the polarization status, (iii) the presence of wave modes at kinetic scale as well as their distribution in the plasma instability-temperature anisotropy plane are just few instances of what can be addressed. Of furthest interest is the study of whether and how the cascade transfer and dissipation rates evolve with the solar distance, since this has great impact on the fundamental plasma physical processes related to the heating of the solar wind. In this talk I will present some of the results obtained by exploiting the PSP/SolO alignment data.</p>

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