Coherent states, fractals and brain waves

Details Coherent states, fractals and brain waves Coherent states, fractals and brain waves

2009-06-02

arxiv.org/abs/0906.0564v1

New Mathematics and Natural Computing Vol.5, No. 1 (2009) 245-264

Biology

Quantitative Biology

Neurons and Cognition

Scientific paper

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.

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