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Coherent States, Fractals And Brain Waves

Author

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  • GIUSEPPE VITIELLO

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

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.

Suggested Citation

  • Giuseppe Vitiello, 2009. "Coherent States, Fractals And Brain Waves," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 5(01), pages 245-264.
  • Handle: RePEc:wsi:nmncxx:v:05:y:2009:i:01:n:s1793005709001271
    DOI: 10.1142/S1793005709001271
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