scholarly journals The Stochastic Resonance Behaviors of a Generalized Harmonic Oscillator Subject to Multiplicative and Periodically Modulated Noises

2016 ◽  
Vol 2016 ◽  
pp. 1-12 ◽  
Author(s):  
Suchuan Zhong ◽  
Kun Wei ◽  
Lu Zhang ◽  
Hong Ma ◽  
Maokang Luo
Keyword(s):  
Stochastic Resonance ◽  
Internal Noise ◽  
Exact Expression ◽  
Resonance Phenomenon ◽  
Generalized Langevin Equation ◽  
Output Amplitude ◽  
Exact Analytic Expression ◽  
Characteristic Features ◽  
And Control ◽  
Biological Solutions

The stochastic resonance (SR) characteristics of a generalized Langevin linear system driven by a multiplicative noise and a periodically modulated noise are studied (the two noises are correlated). In this paper, we consider a generalized Langevin equation (GLE) driven by an internal noise with long-memory and long-range dependence, such as fractional Gaussian noise (fGn) and Mittag-Leffler noise (M-Ln). Such a model is appropriate to characterize the chemical and biological solutions as well as to some nanotechnological devices. An exact analytic expression of the output amplitude is obtained. Based on it, some characteristic features of stochastic resonance phenomenon are revealed. On the other hand, by the use of the exact expression, we obtain the phase diagram for the resonant behaviors of the output amplitude versus noise intensity under different values of system parameters. These useful results presented in this paper can give the theoretical basis for practical use and control of the SR phenomenon of this mathematical model in future works.

Stochastic resonance for a fractional oscillator with random trichotomous mass and random trichotomous frequency

2017 ◽  
Vol 31 (30) ◽  
pp. 1750231 ◽  
Author(s):  
Lifeng Lin ◽  
Huiqi Wang ◽  
Suchuan Zhong
Keyword(s):  
Stochastic Resonance ◽  
Exact Expression ◽  
Order Moment ◽  
Periodic Signal ◽  
Transformation Technique ◽  
First Order ◽  
Fractional Oscillator ◽  
Trichotomous Noise ◽  
Output Amplitude ◽  
Fractional System

The stochastic resonance (SR) phenomena of a linear fractional oscillator with random trichotomous mass and random trichotomous frequency are investigate in this paper. By using the Shapiro–Loginov formula and the Laplace transformation technique, the exact expression of the first-order moment of the system’s steady response is derived. The numerical results demonstrate that the evolution of the output amplitude is nonmonotonic with frequency of the periodic signal, noise parameters and fractional order. The generalized SR (GSR) phenomena, including single GSR (SGSR) and doubly GSR (DGSR), and trebly GSR (TGSR), are detected in this fractional system. Then, the GSR regions in the [Formula: see text] plane are determined through numerical calculations. In addition, the interaction effect of the multiplicative trichotomous noise and memory can diversify the stochastic multiresonance (SMR) phenomena, and induce reverse-resonance phenomena.

Generalized stochastic resonance for a fractional harmonic oscillator with bias-signal-modulated trichotomous noise

2018 ◽  
Vol 32 (07) ◽  
pp. 1850072 ◽  
Author(s):  
Lifeng Lin ◽  
Huiqi Wang ◽  
Xipei Huang ◽  
Yongxian Wen
Keyword(s):  
Stochastic Resonance ◽  
Exact Expression ◽  
Order Moment ◽  
Periodic Signal ◽  
External Excitation ◽  
First Order ◽  
Trichotomous Noise ◽  
Output Amplitude ◽  
Fractional Harmonic Oscillator ◽  
Amplitude Amplification

For a fractional linear oscillator subjected to both parametric excitation of trichotomous noise and external excitation of bias-signal-modulated trichotomous noise, the generalized stochastic resonance (GSR) phenomena are investigated in this paper in case the noises are cross-correlative. First, the generalized Shapiro–Loginov formula and generalized fractional Shapiro–Loginov formula are derived. Then, by using the generalized (fractional) Shapiro–Loginov formula and the Laplace transformation technique, the exact expression of the first-order moment of the system’s steady response is obtained. The numerical results show that the evolution of the output amplitude amplification is nonmonotonic with the frequency of periodic signal, the noise parameters, and the fractional order. The GSR phenomena, including single-peak GSR, double-peak GSR and triple-peak GSR, are observed in this system. In addition, the interplay of the multiplicative trichotomous noise, bias-signal-modulated trichotomous noise and memory can induce and diversify the stochastic multi-resonance (SMR) phenomena, and the two kinds of trichotomous noises play opposite roles on the GSR.

Resonance behavior for a generalized Mittag-Leffler fractional Langevin equation with hydrodynamic interactions

2020 ◽  
Vol 34 (32) ◽  
pp. 2050310
Author(s):  
Guitian He ◽  
Heng Liu ◽  
Guoji Tang ◽  
Jinde Cao
Keyword(s):  
Stochastic Resonance ◽  
Langevin Equation ◽  
Exact Expression ◽  
Resonance Phenomenon ◽  
Viscoelastic Media ◽  
Resonance Behavior ◽  
Fluctuation Dissipation ◽  
Fractional Langevin Equation ◽  
Bona Fide ◽  
Stokes Force

The phenomenological model for the heavy tracers in viscoelastic media modeled by a generalized Mittag-Leffler fractional Langevin equation with the generalized Stokes force, the Basset force, the Hookean force, and the thermal force has been revisited. Under the fluctuation-dissipation relation, the generalized Stokes force describes the viscoelastic media by a Mittag-Leffler (ML) memory kernel. Furthermore, based on the background of ML function, the generalized Mittag-Leffler fractional derivative is introduced. Moreover, the exact expression of stationary first moment and the expression of spectral amplification (SPA) of a tracer model have been deserved by the generalized form of Shapiro-Loginov formula. The generalized stochastic resonance (GSR) phenomena has been systematically studied. Moreover, the GSR, reverse stochastic resonance (SR) phenomenon, bona fide SR, stochastic multi-resonance (SMR) phenomena, increasing multi-resonance and decreasing multi-resonance have been found. Especially, the periodic resonance phenomenon could be induced by the generalized Mittag-Leffler (GML) noise, which has been few observed in the previous literatures.

Asymptotic Behavior in Slumping From a Cylindrical Tank

1984 ◽  
Vol 106 (3) ◽  
pp. 279-284 ◽  
Author(s):  
Y. Bai ◽  
W. Johnson ◽  
R. G. M. Low ◽  
S. K. Ghosh
Keyword(s):  
Transition Period ◽  
Health And Safety ◽  
Local Environment ◽  
Theoretical Background ◽  
Hazardous Substance ◽  
Substance Flows ◽  
Linear Relationships ◽  
Characteristic Features ◽  
And Control ◽  
Future Work

When an oil tank collapses or ruptures any contained hazardous substance flows outwards and can damage nearby plant or people as well as lead to pollution of the local environment. In recent years, this and similar subjects have given rise to a new kind of engineering—spill prevention and control. However, theoretical background, backed by experiment, is lacking to work out reliable regulations. An intermediate-asymptotic analysis for late-stage spreading is carried out in this paper. This analysis reveals several characteristic features of the spill wave such as transition period and linear relationships between spreading area and time, and wave front velocity and the inverse of zone radius. Most of the latter results have been verified by model experiment. This paper also discusses the discrepancies between observations and the theory suggested in a recent UK Health and Safety Executive report. Finally, the present paper puts forward proper modeling rules for future work.

scholarly journals An afebrile heartwater-like syndrome in goats

2013 ◽  
Vol 84 (1) ◽  
Author(s):  
Rhoda Leask ◽  
Kenneth P. Pettey ◽  
Gareth F. Bath
Keyword(s):  
Clinical Signs ◽  
Control Measures ◽  
Sub Saharan Africa ◽  
Limiting Factor ◽  
Febrile Reaction ◽  
Presumptive Diagnosis ◽  
Appropriate Treatment ◽  
Sub Saharan ◽  
Characteristic Features ◽  
And Control

Heartwater is a serious limiting factor for sheep and goat production in the major endemic area of sub-Saharan Africa and therefore most knowledge, research and control methods originate from this region. Whilst the usual or common clinical presentations can be used to make a presumptive diagnosis of heartwater with a good measure of confidence, this is not always the case, and animals suffering from heartwater may be misdiagnosed because their cases do not conform to the expected syndrome, signs and lesions. One aberrant form found occasionally in the Channel Island breeds of cattle and some goats is an afebrile heartwaterlike syndrome. The most constant and characteristic features of this heartwater-like syndrome comprise normal temperature, clinical signs associated with generalised oedema, and nervous signs, especially hypersensitivity. The presumption that the disease under investigation is the afebrile heartwater-like syndrome entails a tentative diagnosis based on history and clinical signs and the response to presumed appropriate treatment (metadiagnosis). The afebrile heartwater-like syndrome presents similarly to peracute heartwater but without the febrile reaction. Peracute cases of heartwater have a high mortality rate, enabling confirmation of the disease on post-mortem examination. Recognition of the afebrile heartwater-like syndrome is important to prevent deaths and identify the need for appropriate control measures.

scholarly journals ACCOUNTING IN TAXATION OF ENTERPRISES

2021 ◽  
pp. 115-128
Author(s):  
Olena PODOLIANCHUK
Keyword(s):  
Accounting Information ◽  
Tax Base ◽  
Planning And Control ◽  
Indirect Taxes ◽  
The Subject ◽  
Characteristic Features ◽  
Business Entities ◽  
Definition Of ◽  
Tax Reporting ◽  
And Control

The article analyzes the revenues of the consolidated budget of Ukraine and determines that budget revenues are growing, mainly due to taxes and fees. The normative definition of the terms «tax» and «collection» is revealed and the main characteristic features are outlined. A critical assessment of the essence of the characterized definitions was made and the inconsistency of the terminological apparatus was determined. It was found that the definitions take into account the principle of mandatory payment of tax or fee paid by a particular payer to a specific account of the allocation budget. The main criteria for distinguishing between direct and indirect taxes are highlighted: method of translation: direct – one participant in the calculation and payment, indirect – several participants; object of taxation: direct – from income, profit, property and resources, indirect – from the value of consumption or use of goods; subject of payment: direct is paid by the taxpayer – the manufacturer or seller, the owner of the goods, indirect – by the subject of the tax burden (the buyer who incurs costs). Taking into account the research of scientists and their own opinion, it is proposed to substantiate at the legislative level the terminology of definitions of direct and indirect taxes, as well as to outline a clear classification list. It is proved that accounting influences management decisions, as the received accounting information certifies the data on the activity of the enterprise and gives the chance to carry out further planning and control. It is determined that the purpose of accounting in taxation is to form a reliable and legally justified size of the tax base and determine the amounts of tax liabilities from taxes and fees for generalization in tax reporting for individual taxes. The accounting process of calculations for taxes and fees of business entities is outlined. It is proposed to separate the objects of taxation in the accounting policy of enterprises.

Internal noise stochastic resonance of synthetic gene network

2005 ◽  
Vol 401 (1-3) ◽  
pp. 307-311 ◽  
Author(s):  
Zhiwei Wang ◽  
Zhonghuai Hou ◽  
Houwen Xin
Keyword(s):  
Stochastic Resonance ◽  
Gene Network ◽  
Internal Noise ◽  
Synthetic Gene ◽  
Synthetic Gene Network

On representing noise by deterministic excitations for interpreting the stochastic resonance phenomenon

2021 ◽  
Vol 379 (2192) ◽  
pp. 20200229 ◽  
Author(s):  
V. Sorokin ◽  
I. Demidov
Keyword(s):  
Stochastic Resonance ◽  
High Frequency ◽  
Stochastic Systems ◽  
Signal To Noise Ratio ◽  
Nonlinear Damping ◽  
Resonance Phenomenon ◽  
Oscillatory Systems ◽  
Stochastic Excitations ◽  
Viable Approach ◽  
Stochastic Resonance Phenomenon

Adding noise to a system can ‘improve’ its dynamic behaviour, for example, it can increase its response or signal-to-noise ratio. The corresponding phenomenon, called stochastic resonance, has found numerous applications in physics, neuroscience, biology, medicine and mechanics. Replacing stochastic excitations with high-frequency ones was shown to be a viable approach to analysing several linear and nonlinear dynamic systems. For these systems, the influence of the stochastic and high-frequency excitations appears to be qualitatively similar. The present paper concerns the discussion of the applicability of this ‘deterministic’ approach to stochastic systems. First, the conventional nonlinear bi-stable system is briefly revisited. Then dynamical systems with multiplicative noise are considered and the validity of replacing stochastic excitations with deterministic ones for such systems is discussed. Finally, we study oscillatory systems with nonlinear damping and analyse the effects of stochastic and deterministic excitations on such systems. This article is part of the theme issue ‘Vibrational and stochastic resonance in driven nonlinear systems (part 1)’.

WATERMARK DETECTION USING DYNAMIC STOCHASTIC RESONANCE

2013 ◽  
Vol 12 (03) ◽  
pp. 1350010 ◽  
Author(s):  
RAJIB KUMAR JHA ◽  
APOORV CHATURVEDI ◽  
RAJLAXMI CHOUHAN
Keyword(s):  
Stochastic Resonance ◽  
Spread Spectrum ◽  
Internal Noise ◽  
External Noise ◽  
Detection Technique ◽  
Discrete Wavelet ◽  
Detection Techniques ◽  
Dynamic Stochastic Resonance ◽  
Watermark Embedding ◽  
Dynamic Stochastic

In this paper, a dynamic stochastic resonance (DSR) based watermark detection technique in discrete wavelet transform (DWT) domain is presented. Pseudo random bit sequence having certain seed value is considered as a watermark. Watermark embedding is done by embedding random bits in spread-spectrum fashion to the significant DWT coefficients. Watermark detection is quantitatively characterized by the value of correlation. The performance of watermark detection is improved by DSR which is an iterative process that utilizes the internal noise present in the image or external noise which is added during attacks. Even under various noise attacks, geometrical distortions, image enhancement and compression attacks, the DSR-based random bits detection is observed to give noteworthy improvement over existing watermark detection techniques. DSR-based technique is also found to give better detection performance when compared with the suprathreshold stochastic resonance-based detection technique.

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