Studies on the conditions of limit cycle oscillations in the K2 models of neural populations

K2 sets are basic building blocks of dynamical neural network memories called K3. The K3s are strongly biologically motivated models of neural organization and functioning at the mesoscopic level in the cortex of vertebrate brains. The present study focuses on the fixed point and the limit cycle attractors in K2s. It considers the eigenvalues of the linearized K2 system and outlines the conditions under which it exhibits limit cycle oscillations. The derived conditions are instrumental in tuning the parameters of the K3 models having sustained chaotic oscillations.