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.
2009. Music, New Aesthetic and Complexity. In Complex Sciences [Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, 5], ► pp. 2212 ff.
Anderson, Carl M., Steven B. Lowen & Perry F. Renshaw
2006. Emotional task-dependent low-frequency fluctuations and methylphenidate: Wavelet scaling analysis of 1/f-type fluctuations in fMRI of the cerebellar vermis. Journal of Neuroscience Methods 151:1 ► pp. 52 ff.
Aßmann, Birte, M. Carmen Romano, Marco Thiel & Carsten Niemitz
2007. Hierarchical organization of a reference system in newborn spontaneous movements. Infant Behavior and Development 30:4 ► pp. 568 ff.
Aßmann, Birte, Marco Thiel, Maria C. Romano & Carsten Niemitz
2006. Recurrence plot analyses suggest a novel reference system involved in newborn spontaneous movements. Behavior Research Methods 38:3 ► pp. 400 ff.
Fernandez Velasco, Pablo
2023. Entropy, prediction and the cultural ecosystem of human cognition. Synthese 201:3
Manaris, Bill, Juan Romero, Penousal Machado, Dwight Krehbiel, Timothy Hirzel, Walter Pharr & Robert B. Davis
2005. Zipf's Law, Music Classification, and Aesthetics. Computer Music Journal 29:1 ► pp. 55 ff.
Pease, April, Korosh Mahmoodi & Bruce J. West
2018. Complexity measures of music. Chaos, Solitons & Fractals 108 ► pp. 82 ff.
West, Bruce J., Elvis L. Geneston & Paolo Grigolini
2008. Maximizing information exchange between complex networks. Physics Reports 468:1-3 ► pp. 1 ff.
2022. Value order in disorder. International Journal of Dynamics and Control 10:5 ► pp. 1395 ff.
This list is based on CrossRef data as of 22 november 2023. Please note that it may not be complete. Sources presented here have been supplied by the respective publishers.
Any errors therein should be reported to them.