T. Matsuno et al., PATTERN-RECOGNITION IN COUPLED OSCILLATORS WITH THE PHASE COHERENCY OUTPUT, Journal of the Physical Society of Japan, 64(5), 1995, pp. 1837-1850
It is clarified that the coupled oscillator system, which has the outp
ut of the phase coherency, can learn mapping from specified phase patt
erns to specified phase coherencies. The system considered here has th
e output unit which is a group of oscillators coupled both to the othe
r oscillators of the system and also to the mean field generated by th
e output unit itself. It is analytically and numerically shown that th
e system can learn the above specified mapping. The effect of the dist
ribution of the natural frequency of oscillators on the dynamics of th
e system is also investigated. It is shown that the system exhibits os
cillatory and complex (chaotic) output when the phase pattern sufficie
ntly different from the learned patterns is input into the system.