Numerical investigation of noise-enhanced stability phenomenon induced by bounded noise in a single stable system

Li, Chun; Xue, Ling-Fang; Mei, Dong-Cheng

doi:10.1016/j.cjph.2017.08.026

Cited by 2 publications

(3 citation statements)

References 41 publications

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“…( The randomly uncertain disturbances M i (i = 1, 2) generate independently and can be expressed in the form of bounded noise [10,31,32], which is shown in Eq (6):…”

Section: Plos Onementioning

confidence: 99%

“…In this study, the mathematical model of randomly uncertain disturbances was established based on the bounded noise method, which has been widely used in the previous researches [10,20,31,32,[36][37][38][39][40], and its effectiveness has been effectively proved. Based on the above studies, the dynamic model of the robot under the disturbances was established for studying the dynamic performances of the robot.…”

Section: Plos Onementioning

confidence: 99%

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Dynamic performances of a bird-like flapping wing robot under randomly uncertain disturbances

Ding

2020

PLoS ONE

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The nonlinear dynamics of a bird-like flapping wing robot under randomly uncertain disturbances was studied in this study. The bird-like flapping wing robot was first simplified into a two-rod model with a spring connection. Then, the dynamic model of the robot under randomly uncertain disturbances was established according to the principle of moment equilibrium, and the disturbances were modeled in the form of bounded noise. Next, the energy model of the robot was established. Finally, numerical simulations and experiments were carried out based on the above models. The results show that the robot is more likely to deviate from its normal trajectory when the randomly uncertain disturbances are applied in a chaotic state than in a periodic state. With the increase of the spring stiffness under the randomly uncertain disturbances, the robot has a stronger ability to reject the disturbances. The mass center of the robot is vital to realize stable flights. The greater the amplitude of randomly uncertain disturbances, the more likely it is for the robot to be in a divergent state.

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“…( The randomly uncertain disturbances M i (i = 1, 2) generate independently and can be expressed in the form of bounded noise [10,31,32], which is shown in Eq (6):…”

Section: Plos Onementioning

confidence: 99%

Section: Plos Onementioning

confidence: 99%

Dynamic performances of a bird-like flapping wing robot under randomly uncertain disturbances

Ding

2020

PLoS ONE

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“…Stochastic resonance (SR), in which some noise level is added to a weak signal in a non‐linear system, enhances weak signals' detection and transmission [ 14 , 15 ]. The noise‐enhanced stability (NES) phenomenon has also been studied to show how noise can stabilize the system's fluctuating metastable states [ 16 , 17 , 18 , 19 , 20 , 21 ]. Zeng and Wang [ 22 ] applied the NES with coloured noise and showed how tumour cell growth could be stabilised.…”

Section: Introductionmentioning

confidence: 99%

Effects of noise and time delay on E2F's expression level in a bistable Rb‐E2F gene’s regulatory network

Kirunda

Yang

Liu

et al. 2021

IET Systems Biology

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The bistable Rb-E2F gene regulatory network plays a central role in regulating cellular proliferation-quiescence transition. Based on Gillespie's chemical Langevin method, the stochastic bistable Rb-E2F gene's regulatory network with time delays is proposed. It is found that under the moderate intensity of internal noise, delay in the Cyclin E synthesis rate can greatly increase the average concentration value of E2F. When the delay is considered in both E2F-related positive feedback loops, within a specific range of delay (3-13)hr, the average expression of E2F is significantly increased. Also, this range is in the scope with that experimentally given by Dong et al. [65]. By analysing the quasi-potential curves at different delay times, simulation results show that delay regulates the dynamic behaviour of the system in the following way: small delay stabilises the bistable system; the medium delay is conducive to a high steady-state, making the system fluctuate near the high steady-state; large delay induces approximately periodic transitions between high and low steady-state. Therefore, by regulating noise and time delay, the cell itself can control the expression level of E2F to respond to different situations. These findings may provide an explanation of some experimental result intricacies related to the cell cycle.This is an open access article under the terms of the Creative Commons Attribution-NonCommercial License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited and is not used for commercial purposes.

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Numerical investigation of noise-enhanced stability phenomenon induced by bounded noise in a single stable system

Cited by 2 publications

References 41 publications

Dynamic performances of a bird-like flapping wing robot under randomly uncertain disturbances

Dynamic performances of a bird-like flapping wing robot under randomly uncertain disturbances

Effects of noise and time delay on E2F's expression level in a bistable Rb‐E2F gene’s regulatory network

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