Synchronization of Neuronal Circuits with Ring Connection on PSpice

Resonant tunneling diode circuits using Pspice

The measured I –V data and the large-signal equivalent circuit of a resonant tunneling diode are exploited, through the analog behavioral modeling capabilities of Pspice, to create a Pspice compatible model for the diode. The model is used, with very few other components, in the simulation of a number of circuit applications including a sinusoidal wave generator, a frequency multiplier and thre...

Firing Synchronization on the Ring

We present two solutions to the firing synchronization problem on the ring, an 8-state minimal-time solution and a 6-state non-minimal-time solution. Both solutions use fewer states than the previous best-known minimal-time automaton, a 16-state solution due to Culik. We also give the first lower bounds on the number of states needed for solutions to the ring firing synchronization problem. We ...

Synchronization of Chaotic Circuits

Hyper-Ring Connection Machines

A graph G = (V,E) is called a hyper-ring with N nodes (N-HR for short) if V = {O,...,N 1) and E = {{u,u}1u U modulo N is a power of 2). We study constructions and spanners of HRs, and embeddings into HRs. The stretch factors of three types of spanners given in this paper are at most [log, q, 2k1 for any 15 k 5 rlog,N], and 2k1 for any 0 5 k 5 [log, N] 1, respectively. The numbers of edges of th...

Modulation of neuronal interactions through neuronal synchronization.

Brain processing depends on the interactions between neuronal groups. Those interactions are governed by the pattern of anatomical connections and by yet unknown mechanisms that modulate the effective strength of a given connection. We found that the mutual influence among neuronal groups depends on the phase relation between rhythmic activities within the groups. Phase relations supporting int...