KRUPA , Maciej

Learning or memory formation are associated with the strengthening of the synaptic connections between neurons according to a pattern reflected by the input. According to this theory a retained memory sequence is associated to a dynamic pattern of the associated neural circuit. In this work we consider a class of network neuron models, known as...

In this work, we analyze a four dimensional slow-fast piecewise linear system with three time scales presenting Mixed-Mode Oscillations. The system possesses an attractive limit cycle along which oscillations of three different amplitudes and frequencies can appear, namely, small oscillations, pulses (medium amplitude) and one surge (largest...

Prediction is the ability of the brain to quickly activate a target concept in response to arelated stimulus (prime). Experiments point to the existence of an overlap between the populationsof the neurons coding for different stimuli, and other experiments show that prime-targetrelations arise in the process of long term memory formation. The...