Nonextensivity in a memory network access mechanism

Abstract

We have previously described neurotic psychopathology and psychoanalytic working-through by an associative memory mechanism, based on a neural network. Memory was initially modelled by a Boltzmann machine (BM). We simulated known microscopic mechanisms that control synaptic properties and showed that the network self-organizes to a hierarchical, clustered structure. Some properties of the complex networks which result from this self-organization indicate that a generalization of the BM may be necessary to model memory. We have thus generalized the memory model, using Generalized Simulated Annealing, derived from the nonextensive formalism, and show some properties of the resulting memory access mechanism.

Quantum Behavior of a Nonextensive Oscillatory Dissipative System in the Coherent State

“…Hence, the systems generalized along this line should inevitably be described by considering their nonextensive properties. The examples of physical phenomena associated with nonextensivity are longrange interactions [4,5], multifractals [6,7], microscopic memory [8,9], fluxes in cosmic rays [10], etc. The differences in the thermodynamical properties of the nonextensive dynamical systems and the usual extensive ones have been extensively explored to date.…”