Stochastic resonance in coupled star-networks with power-law heterogeneity

2021 ◽  
pp. 126155
Author(s):  
Shilong Gao ◽  
Nunan Gao ◽  
Bixia Kan ◽  
Huiqi Wang
Keyword(s):  
Stochastic Resonance ◽  
Power Law ◽  
Star Networks

RESONANCE-LIKE PHENOMENA IN ARRAYS OF RÖSSLER OSCILLATORS UNDER CORRELATED PARAMETRIC FLUCTUATIONS

2001 ◽  
Vol 11 (10) ◽  
pp. 2663-2668 ◽  
Author(s):  
M. N. LORENZO ◽  
V. PÉREZ-MUÑUZURI ◽  
R. DEZA ◽  
J. L. CABRERA
Keyword(s):  
Stochastic Resonance ◽  
Power Law ◽  
Coupling Strength ◽  
Time Scale ◽  
Correlation Time ◽  
Noise Intensity ◽  
Noise Correlation ◽  
Parametric Fluctuations

The behavior of diffusively coupled Rössler oscillators parametrically perturbed with an Ornstein–Uhlenbeck noise is analyzed in terms of the degree of synchronization between the cells. A resonance-like behavior is found as a function of the noise correlation time, instead of the noise intensity as it occurs in the typical stochastic resonance. A power law scaling between the "optimum" correlation time with regard to synchronization and the deterministic time scale of the oscillators has been obtained, with an exponent that depends on the coupling strength.

Ghost stochastic resonance induced by a power-law distributed noise in the FitzHugh–Nagumo neuron model

2015 ◽  
Vol 22 (1-3) ◽  
pp. 641-649 ◽  
Author(s):  
Iacyel G. Silva ◽  
Osvaldo A. Rosso ◽  
Marcos V.D. Vermelho ◽  
Marcelo L. Lyra
Keyword(s):  
Stochastic Resonance ◽  
Power Law ◽  
Neuron Model

OPTIMAL TRANSITION RATE AND STOCHASTIC RESONANCE IN A BISTABLE SYSTEM DRIVEN BY POWER-LAW NOISE

2003 ◽  
Vol 14 (03) ◽  
pp. 303-310 ◽  
Author(s):  
J. F. L. FREITAS ◽  
M. L. LYRA
Keyword(s):  
Stochastic Resonance ◽  
Power Law ◽  
Transition Rate ◽  
Noise Intensity ◽  
Nonlinear Dynamical Systems ◽  
Nonlinear Dynamical System ◽  
Resonance Phenomenon ◽  
Periodic Signal ◽  
Nonlinear Dynamical ◽  
Decay Exponent

In this work, we study the stochastic resonance phenomenon in a bistable nonlinear dynamical system in the presence of an uncorrelated noise source whose distribution decays asymptotically as P(ξ) ∝ 1/ξ2α. We investigate the influence of the decay exponent α on the transition rate and on the optimal noise intensity giving the maximum signal-to-noise ratio when a weak periodic signal is superposed to the external noise. We find that the transition rate achieves a maximum for a finite decay exponent α. However, the optimal noise intensity for stochastic resonance depicts a monotonic power-law correction relative to the usual behavior of nonlinear dynamical systems driven by Gaussian noises.

Transient Signal Detection in Non-Gaussian Noise Using Stochastic Resonance and Wavelet Domain Power-Law Detector

2014 ◽  
Vol 945-949 ◽  
pp. 2043-2047
Author(s):  
Hua Yu Dong ◽  
Zhi Yang
Keyword(s):  
Stochastic Resonance ◽  
Power Law ◽  
Gaussian Noise ◽  
Mixture Distribution ◽  
Resonance Method ◽  
Gaussian Mixture ◽  
Transient Signal ◽  
Wavelet Domain ◽  
The Matrix ◽  
Non Gaussian

The detection of weak transient signal buried in non-Gaussian noise is investigated. Non-Gaussian noise is modeled by Gaussian mixture distribution. 3-level quantizer is used as a nondynamic stochastic resonance method to enhance SNR of weak signal. NL-length samples of signal are arranged into a matrix. Every column of the matrix is calculated into M-level decomposition. Based on the squared value of the detail and approximation coefficients, a novel Power-Law detector in wavelet domain is established. Numerical experiments and comparison show that, on the same SNR and false alarm rate, proposed method could provide higher detection probability.

Analysis of power law assumptions for short-period comets and Kuiper bodies

1999 ◽  
Vol 173 ◽  
pp. 289-293 ◽  
Author(s):  
J.R. Donnison ◽  
L.I. Pettit
Keyword(s):  
Power Law ◽  
Pareto Distribution ◽  
Limited Data ◽  
Short Period ◽  
Probability Plots ◽  
Exponential Probability

AbstractA Pareto distribution was used to model the magnitude data for short-period comets up to 1988. It was found using exponential probability plots that the brightness did not vary with period and that the cut-off point previously adopted can be supported statistically. Examination of the diameters of Trans-Neptunian bodies showed that a power law does not adequately fit the limited data available.

Hearing in Mice by GSR Audiometry: II. Magnitude of Unconditioned GSR as a Function of Intensity and Frequency Interactions

1968 ◽  
Vol 11 (1) ◽  
pp. 169-178 ◽  
Author(s):  
Alan Gill ◽  
Charles I. Berlin
Keyword(s):  
Power Law ◽  
Response Magnitude ◽  
Single Units ◽  
Spectral Content ◽  
Hearing Sensitivity ◽  
Subjective Magnitude ◽  
Orderly Fashion ◽  
Viiith Nerve

The unconditioned GSR’s elicited by tones of 60, 70, 80, and 90 dB SPL were largest in the mouse in the ranges around 10,000 Hz. The growth of response magnitude with intensity followed a power law (10 .17 to 10 .22 , depending upon frequency) and suggested that the unconditioned GSR magnitude assessed overall subjective magnitude of tones to the mouse in an orderly fashion. It is suggested that hearing sensitivity as assessed by these means may be closely related to the spectral content of the mouse’s vocalization as well as to the number of critically sensitive single units in the mouse’s VIIIth nerve.

How Useful is the Power Law of Practice for Recognizing Practice in Concentration Tests?

2007 ◽  
Vol 23 (3) ◽  
pp. 157-165 ◽  
Author(s):  
Carmen Hagemeister
Keyword(s):  
Logistic Regression ◽  
Reaction Time ◽  
Power Law ◽  
Error Rate ◽  
Reaction Times ◽  
Practice Effect ◽  
Practice Effects ◽  
Rate Decrease ◽  
Small Practice

Abstract. When concentration tests are completed repeatedly, reaction time and error rate decrease considerably, but the underlying ability does not improve. In order to overcome this validity problem this study aimed to test if the practice effect between tests and within tests can be useful in determining whether persons have already completed this test. The power law of practice postulates that practice effects are greater in unpracticed than in practiced persons. Two experiments were carried out in which the participants completed the same tests at the beginning and at the end of two test sessions set about 3 days apart. In both experiments, the logistic regression could indeed classify persons according to previous practice through the practice effect between the tests at the beginning and at the end of the session, and, less well but still significantly, through the practice effect within the first test of the session. Further analyses showed that the practice effects correlated more highly with the initial performance than was to be expected for mathematical reasons; typically persons with long reaction times have larger practice effects. Thus, small practice effects alone do not allow one to conclude that a person has worked on the test before.

Inverse Power Law Behavior in a Memory Scanning Experiment

2006 ◽  
Author(s):  
Gerardo Ramirez ◽  
Sonia Perez ◽  
John G. Holden
Keyword(s):  
Power Law ◽  
Inverse Power ◽  
Memory Scanning ◽  
Inverse Power Law
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