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research article
Networks of mixed canonical-dissipative systems and dynamic hebbian learning
We study the dynamics of a network consisting of N diffusively coupled, stable- limit-cycle oscillators on which individual frequencies are parametrized by $w_k, k = 1, . . . ,N$. We introduce a learning rule which influences the wk by driving the system towards a consensual oscillatory state in which all oscillators share a common frequency $w_c$. We are able to analytically calculate $w_c$. The network topology strongly affects the relaxation rate but not the ultimate consensual $w_c$. We report numerical simulations to show the learning mechanisms at work and confirm our theoretical assertions.
Type
research article
Web of Science ID
WOS:000272257200006
Authors
Publication date
2009
Volume
2
Start page
140
End page
146
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
March 16, 2009
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