Effect of the fractional oscillator noise in the overdamped linear oscillator with the presence of a periodic force

2019 ◽  
Vol 95 (2) ◽  
pp. 025004
Author(s):  
Kwok Sau Fa
Keyword(s):  
Linear Oscillator ◽  
Periodic Force ◽  
Fractional Oscillator ◽  
Oscillator Noise

Fractional oscillator noise and its applications

2020 ◽  
Vol 34 (26) ◽  
pp. 2050234
Author(s):  
Kwok Sau Fa
Keyword(s):  
Correlation Function ◽  
Shear Flow ◽  
White Noise ◽  
Power Law ◽  
Protein Complex ◽  
Brownian Particle ◽  
Internal Dynamics ◽  
Fractional Oscillator ◽  
Single Protein ◽  
Oscillator Noise

It is shown that a fractional oscillator (FO) noise, which is a generalization of the ordinary overdamped linear oscillator driven by the white noise may be ‘applied to diverse systems; its stationary correlation function presents power-law-like function, exponential-like function, exponential function, and oscillatory decays. The model may be employed to describe the fluctuation of the distance between a fluorescein–tyrosine pair within a single protein complex and the internal dynamics of a lysozyme molecule in solution. It also has the possibility of describing a Brownian particle in an oscillatory viscoelastic shear flow.

A Nonlinear Fractional Oscillator and Its Experimental Identification in Terms of Wavelet Method

2011 ◽  
Author(s):  
Liviu Bereteu ◽  
Gheorghe Eugen Drăgănescu ◽  
Dan Viorel Stănescu ◽  
Madalin Bunoiu ◽  
Iosif Malaescu
Keyword(s):  
Wavelet Method ◽  
Experimental Identification ◽  
Fractional Oscillator

The Dynamics of a Nonharmonically Excited System Having Rigid Amplitude Constraints

1992 ◽  
Vol 59 (3) ◽  
pp. 693-695 ◽  
Author(s):  
Pi-Cheng Tung
Keyword(s):  
Dynamic Response ◽  
Bifurcation Analysis ◽  
Piecewise Linear ◽  
Coefficient Of Restitution ◽  
Degree Of Freedom ◽  
Linear Oscillator ◽  
Chaotic Motions ◽  
Single Degree Of Freedom ◽  
Single Degree ◽  
Excited System

We consider the dynamic response of a single-degree-of-freedom system having two-sided amplitude constraints. The model consists of a piecewise-linear oscillator subjected to nonharmonic excitation. A simple impact rule employing a coefficient of restitution is used to characterize the almost instantaneous behavior of impact at the constraints. In this paper periodic and chaotic motions are found. The amplitude and stability of the periodic responses are determined and bifurcation analysis for these motions is carried out. Chaotic motions are found to exist over ranges of forcing periods.

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