Bio-Inspired Computing and Networking

442

■

Bio-Inspired Computing and Networking

τ

–0.4

–0.2

0

0.2

0.4

0.6

0.8

1

τ

χ

r

i

0

0.5

1

1.5

2

0 5 10 0 102030

Figure 17.10 In-phase locking in a network composed of 10 oscillators. Evolution

of the amplitudes (left) and phases (right) from random initial amplitudes r

i

∈ (0, 2]

and phase differences χ

i

∈ (−π/6, π/6).

Figure17.10showstheevolution of theamplitudes(left)andthe phase differences

(right) for a network composed of 10 oscillators for ψ = π/4. The convergence

toward constant amplitude in-phase–locked oscillations is evident.

The same approach allows the analysis of more complex architectures, including

two-dimensional networks, with long-range, nonsymmetric interactions. ...