Affiliations: [a] Dipartimento di Fisica “E.R.Caianiello”, Universitá di Salerno and INFN, Fisciano (Salerno) 84084, Italy. E-mails: capolupo@sa.infn.it, vitiello@sa.infn.it | [b] Department of Mathematics, University of Memphis, Memphis, TN 38152, USA. E-mail: rkozma@memphis.edu | [c] Department of Computer Science, University of Massachusetts, Amherst, MA 001003, USA | [d] Institute for Particle Physics Phenomenology, Durham University, South Road, Durham, DH1 3LE, UK. E-mail: andres.olivares@durham.ac.uk
Abstract: Average evoked potential data recorded as impulse responses of brains to electric shocks show Bessel-like functional distributions which we analyze in terms of couples of damped/amplified oscillators. This reproduces results obtained in terms of ordinary differential equations (Freeman K-sets) and offers the possibility of a direct connection with the dissipative model of brain in the quantum gauge field theory paradigm. We study the control mechanism by fine tuning the model parameters and the brain property of discriminating between two similar behaviors or perceptions. We suggest that a similar control mechanism may be useful in security communication protocols. Finally, brain activity and mental activity is considered in the light of our results.
Keywords: Cortex dynamics, Freeman K-sets, Bessel equations, many-body dissipative model
