Abstract
Biological central nervous systems with their massive parallel structures and recurrent projections show fractal characteristics in structural and functional parameters (Babloyantz and Lourenno 1994). Julia sets and the Mandelbrot set are the well known classical fractals with all their harmony, deterministic chaos and beauty, generated by iterated non - linear functions. The according algorithms may be transposed, based on their geometrical interpretation, directly into the massive parallel structure of neural networks working on recurrent projections. Structural organization and functional properties of those networks, their ability to process data and correspondences to biological neural networks will be discussed.
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References
Babloyantz A, Lourenno C ( 1994) Computation with chaos: A paradigm for cortical activity, Proc Natl Acad Sci USA, Vol 91 pp 9027–9031, Biophysics
Birbaumer N, Schmidt RF (1996) Biologische Psychologic p 598. Springer Berlin
Destexhe A (1994) Oscillations, complex spatiotemporal behavior, and information transport in networks of excitatory and inhibitory neurons. Physical Review E, Vol 50 Nr 2: 1594–1606
Fink M (1996) Time reversal in acoustics, Contemporary Physics 37,2: 95–109
Freeman WJ ( 1987) Simulation of Chaotic EEG Patterns with a Dynamic Model of the Olfactory System. Biol Cybern 56: 139–150
Mandelbrot BB ( 1982 ) The Fractal Geometry of Nature. Freeman, San Francisco
Pieper H (1985) Die komplexen Zahlen. Deutsch, Frankfurt a. Main
Peitgen HO, Richter PH ( 1986) The Beauty of Fractals-Images of Complex Dynamical Systems. Springer, Berlin Heidelberg
Wu J, Cohen L, Falk C (1994), Science 263, 820–823
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Kromer, T. (1999). Spatial Neural Networks Based on Fractal Algorithms Biomorph Nets of Nets of.... In: Reusch, B. (eds) Computational Intelligence. Fuzzy Days 1999. Lecture Notes in Computer Science, vol 1625. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48774-3_65
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DOI: https://doi.org/10.1007/3-540-48774-3_65
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-66050-7
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