Aging transition by random errors.

Abstract:

:In this paper, the effects of random errors on the oscillating behaviors have been studied theoretically and numerically in a prototypical coupled nonlinear oscillator. Two kinds of noises have been employed respectively to represent the measurement errors accompanied with the parameter specifying the distance from a Hopf bifurcation in the Stuart-Landau model. It has been demonstrated that when the random errors are uniform random noise, the change of the noise intensity can effectively increase the robustness of the system. While the random errors are normal random noise, the increasing of variance can also enhance the robustness of the system under certain conditions that the probability of aging transition occurs reaches a certain threshold. The opposite conclusion is obtained when the probability is less than the threshold. These findings provide an alternative candidate to control the critical value of aging transition in coupled oscillator system, which is composed of the active oscillators and inactive oscillators in practice.

journal_name

Sci Rep

journal_title

Scientific reports

authors

Sun Z,Ma N,Xu W

doi

10.1038/srep42715

subject

Has Abstract

pub_date

2017-02-15 00:00:00

pages

42715

issn

2045-2322

pii

srep42715

journal_volume

7

pub_type

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