COHERENT STATES, FRACTALS AND BRAIN WAVES

Giuseppe Vitiello ()
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Giuseppe Vitiello: Dipartimento di Matematica e Informatica and INFN, Università di Salerno, I-84100 Salerno, Italy

New Mathematics and Natural Computation (NMNC), 2009, vol. 05, issue 01, 245-264

Abstract: I show that a functional representation of self-similarity (as the one occurring in fractals) is provided by squeezed coherent states. In this way, the dissipative model of brain is shown to account for the self-similarity in brain background activity suggested by power-law distributions of power spectral densities of electrocorticograms. I also briefly discuss the action-perception cycle in the dissipative model with reference to intentionality in terms of trajectories in the memory state space.

Keywords: Neuronal synchronized oscillations; brain background activity; self-similarity; coherent states (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1142/S1793005709001271

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