The resonance behavior in the fractional harmonic oscillator with time delay and fluctuating mass

2020 ◽  
Vol 545 ◽  
pp. 123731
Author(s):  
Yan Tian ◽  
Tao Yu ◽  
Gui-Tian He ◽  
Lin-Feng Zhong ◽  
H. Eugene Stanley
Keyword(s):  
Time Delay ◽  
Harmonic Oscillator ◽  
Resonance Behavior ◽  
Fractional Harmonic Oscillator

Bipartite Synchronization and Convergence Analysis for Network of Harmonic Oscillator Systems With Signed Graph and Time Delay

2019 ◽  
Vol 66 (7) ◽  
pp. 2723-2734 ◽  
Author(s):  
Qiang Song ◽  
Guoping Lu ◽  
Guanghui Wen ◽  
Jinde Cao ◽  
Fang Liu
Keyword(s):  
Time Delay ◽  
Harmonic Oscillator ◽  
Convergence Analysis ◽  
Signed Graph

Solution of Fractional Harmonic Oscillator in a Fractional B-poly Basis

2014 ◽  
Vol 2 (2) ◽  
pp. 8 ◽  
Author(s):  
Muhammad I. Bhatti
Keyword(s):  
Harmonic Oscillator ◽  
Fractional Harmonic Oscillator

Investigation of fractional harmonic oscillator canonical ensemble in the q-deformed super-statistic

2019 ◽  
Vol 16 (11) ◽  
pp. 1950163
Author(s):  
Hadi Sobhani ◽  
Hassan Hassanabadi ◽  
Won Sang Chung
Keyword(s):  
Harmonic Oscillator ◽  
Canonical Ensemble ◽  
The Other ◽  
Partition Functions ◽  
Thermodynamical Properties ◽  
Fractional Harmonic Oscillator ◽  
Fractional Parameter

In this paper, a canonical ensemble of fractional harmonic oscillator has been considered. Then by using the [Formula: see text]-deformed formalism of super-statistic, thermodynamical properties of such an ensemble have been evaluated. The important point in this paper is that because of the existence of the fractional parameter, the partition functions, consequently and the other thermodynamical properties, can be analytically derived. Therefore, these quantities have been evaluated numerically. These quantities have been plotted in terms of temperature when the deformation and the fractional parameter vary. Effects of these parameters on the thermodynamical properties of the canonical ensemble have been discussed in detail.

The impact of memory effect on resonance behavior in a fractional oscillator with small time delay

2021 ◽  
Vol 563 ◽  
pp. 125383
Author(s):  
Yan Tian ◽  
Guitian He ◽  
Zhibin Liu ◽  
Linfeng Zhong ◽  
Xinping Yang ◽  
...  
Keyword(s):  
Time Delay ◽  
Memory Effect ◽  
Small Time ◽  
Resonance Behavior ◽  
Small Time Delay ◽  
Fractional Oscillator ◽  
The Impact

TIME-DELAY PROPERTIES OF A STOCHASTIC-RESONANCE INFORMATION TRANSMISSION LINE

2008 ◽  
Vol 08 (03n04) ◽  
pp. L315-L321 ◽  
Author(s):  
S. A. IBÁÑEZ ◽  
A. FENDRIK ◽  
P. I. FIERENS ◽  
R. P. J. PERAZZO ◽  
D. F. GROSZ
Keyword(s):  
Information Processing ◽  
Time Delay ◽  
Transmission Line ◽  
Information Transmission ◽  
Stochastic Resonance ◽  
Delay Line ◽  
Resonance Behavior ◽  
Coupling Parameters ◽  
A Chain ◽  
Damped Oscillators

In this paper we analyze the properties of a chain of forward-coupled bi-stable over-damped oscillators. It is well known that this system displays stochastic resonance and behaves as a transmission line when an adequate amount of noise is added to each oscillator, and the first oscillator is driven by a periodic (sine) modulating signal. By driving the first oscillator with a modulated sequence of random non-return-to-zero (NRZ) bits, we start by showing that the system exhibits a stochastic-resonance behavior. Then we show that bit delays can be adjusted by either changing the amount of noise and/or the coupling intensity between adjacent oscillators. We find that the system can be regarded as a tunable delay line for a broad range of noise and coupling parameters, a feature that may find applications in information processing and bit regeneration.

scholarly journals The resonant behavior of fractional harmonic oscillator with fluctuating mass

2013 ◽  
Vol 62 (21) ◽  
pp. 210503
Author(s):  
Yu Tao ◽  
Luo Mao-Kang ◽  
Hua Yun
Keyword(s):  
Harmonic Oscillator ◽  
Resonant Behavior ◽  
Fractional Harmonic Oscillator
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