Natural and Fractal Fluctuations in Time, Noise, and Music

1996 ◽  
pp. 103-113
Author(s):  
Carl Bovill
Keyword(s):  
Fractal Fluctuations

scholarly journals SCALE-FREE UNIVERSAL SPECTRUM FOR ATMOSPHERIC AEROSOL SIZE DISTRIBUTION FOR DAVOS, MAUNA LOA AND IZANA

2013 ◽  
Vol 23 (02) ◽  
pp. 1350028 ◽  
Author(s):  
A. M. SELVAM
Keyword(s):  
Size Distribution ◽  
Power Law ◽  
Aerosol Size Distribution ◽  
Scale Free ◽  
Mauna Loa ◽  
Atmospheric Particulates ◽  
Inverse Power Law ◽  
Universal Scale ◽  
Radius Size ◽  
Fractal Fluctuations

Atmospheric flows exhibit fractal fluctuations and inverse power law for power spectra indicates an eddy continuum structure for the self-similar fluctuations. A general systems theory for aerosol size distribution based on fractal fluctuations is proposed. The model predicts universal (scale-free) inverse power law for fractal fluctuations expressed in terms of the golden mean. Atmospheric particulates are held in suspension in the fractal fluctuations of vertical wind velocity. The mass or radius (size) distribution for homogeneous suspended atmospheric particulates is expressed as a universal scale-independent function of the golden mean, the total number concentration and the mean volume radius. Model predicted spectrum is compared with the total averaged radius size spectra for the AERONET (aerosol inversions) stations Davos and Mauna Loa for the year 2010 and Izana for the year 2009. There is close agreement between the model predicted and the observed aerosol spectra. The proposed model for universal aerosol size spectrum will have applications in computations of radiation balance of earth–atmosphere system in climate models.

scholarly journals Effect of sampling frequency on fractal fluctuations during treadmill walking

PLoS ONE ◽  
2019 ◽  
Vol 14 (11) ◽  
pp. e0218908 ◽  
Author(s):  
Vivien Marmelat ◽  
Austin Duncan ◽  
Shane Meltz
Keyword(s):  
Sampling Frequency ◽  
Treadmill Walking ◽  
Fractal Fluctuations

scholarly journals Fractal fluctuations in gaze speed visual search

2010 ◽  
Vol 73 (3) ◽  
pp. 666-677 ◽  
Author(s):  
Damian G. Stephen ◽  
Jason Anastas
Keyword(s):  
Visual Search ◽  
Fractal Fluctuations

From molecules to mindfulness

2000 ◽  
Vol 1 (2) ◽  
pp. 193-226 ◽  
Author(s):  
Carl M. Anderson
Keyword(s):  
Emotional Memory ◽  
Protein Chain ◽  
Temporal Lobes ◽  
Neural Ensembles ◽  
Cortical Oscillations ◽  
Internet Users ◽  
Fractal Organization ◽  
Molecular Events ◽  
Self Similar ◽  
Fractal Fluctuations

Fractal time fluctuations of the spectral “1/f” form are universal in natural self-organizing systems. Neurobiology is uniquely infused with fractal fluctuations in the form of statistically self-similar clusters or bursts on all levels of description from molecular events such as protein chain fluctuations, ion channel currents and synaptic processes to the behaviors of neural ensembles or the collective behavior of Internet users. It is the thesis of this essay that the brain self-organizes via a vertical collation of these spontaneous events in order to perceive the world and generate adaptive behaviors. REM sleep, which coalesces from self-similar clusters of burst-within-burst behavior during ontogeny, is essential to cognitive-emotional function, and has recurrent fractal organization. Empirical fMRI observations further support the association of fractal fluctuations in the temporal lobes, brainstem and cerebellum during the expression of emotional memory, spontaneous fluctuations of thought and meditative practice. Cognitive-emotional integration arises as amygdaloid-brainstem-cerebellar systems harmonize the vertical “1/f” symphony of coupled isochronous cortical oscillations in the pursuit of mindfulness.

scholarly journals Fractal fluctuations in exploratory movements predict differences in dynamic touch capabilities between children with Attention-Deficit Hyperactivity Disorder and typical development

PLoS ONE ◽  
2019 ◽  
Vol 14 (5) ◽  
pp. e0217200 ◽  
Author(s):  
Bruna S. Avelar ◽  
Marisa C. Mancini ◽  
Sergio T. Fonseca ◽  
Damian G. Kelty-Stephen ◽  
Débora M. de Miranda ◽  
...  
Keyword(s):  
Attention Deficit Hyperactivity Disorder ◽  
Attention Deficit ◽  
Dynamic Touch ◽  
Typical Development ◽  
Hyperactivity Disorder ◽  
Exploratory Movements ◽  
Fractal Fluctuations

Series summation of fractal fluctuations in electron billiard arrays

2006 ◽  
Vol 34 (1-2) ◽  
pp. 600-603
Author(s):  
T.P. Martin ◽  
B.C. Scannell ◽  
C.A. Marlow ◽  
R.P. Taylor ◽  
H. Linke ◽  
...  
Keyword(s):  
Fractal Fluctuations

scholarly journals Fractal fluctuations in quantum integrable scattering

2001 ◽  
Vol 65 (1) ◽  
Author(s):  
Italo Guarneri ◽  
Marcello Terraneo
Keyword(s):  
Fractal Fluctuations
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