Bio-Inspired Computing and Networking

Weakly Connected Oscillatory Networks

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with s

ij

=C

ij

V (ω)B

j

. It is readily derived that phase configurations such that

(

j

−

i

) ∈{0, π} are equilibrium points of (17.33), i.e., in-phase or anti-phase–

locked states are admissible steady-state solutions. This agrees with the assumption

that function (17.32) satisfies condition (17.31).

By remembering that each limit cycle (either stable or unstable) of the WCON

corresponds to an equilibrium point of the phase equation, the coefficients s

ij

can

be designed according to a simple learning rule in order to store a given set of phase

patterns.

14

The parameters C

ij

of the coupling function (17.32), which defines ...