CAN STOCHASTIC RENEWAL OF MAPS BE A MODEL FOR CEREBRAL-CORTEX

We introduce a new type of stochastic dynamics as stochastic renewal o f maps, relating to the neurodynamics of cortical memory process. This stochastic dynamics can be reformulated by a skew product transformat ion of two kinds of variables, one of which describes an underlying dy namical system and the other describes chaotic dynamics, say, Bernoull i shift. The feature of orbits in phase space is investigated in the p articular case of a neurodynamics model for cortical chaotic memories. A new computational result on the functional role of cortical chaos i s obtained. We also present a neurobiological interpretation of psycho logical perception and memories by means of the notion of chaotic itin erancy.