content_image/301459.jpg content_image/301458.jpg content_image/301456.jpg content_image/301457.jpg
Hence, 

for each t that belongs to the intervals ( θ$_{p}$ + η, θ$_{p}$$_{+1}$ − η ) , p ∈ Z . 

<img src='content_image/301459.jpg'>

The inequality η < θ/ 5 ensures that t + 3 η ∈ ( θ$_{p}$ + η, θ$_{p}$$_{+1}$ − η ) if | t − θ$_{p}$ | ≤ η. Now, by means of the inequalities (5.11) and (5.14) we attain for | t − θ$_{p}$ | ≤ η, p ∈ Z , that 

<img src='content_image/301458.jpg'>

The last inequality implies that α is an ϵ − translation number of Π u ( t ) . Consequently, the SICNN (2.3) admits a unique almost periodic solution. □ 

Remark 5.1 The Bohr definition of almost periodicity is also suitable for the application of Lyapunov functional method and the technique of Young inequality [59] to show the existence, uniqueness and exponential stability of almost periodic solutions in CNNs. 

## 6 An example 

Consider the sequence θ = { θ$_{p}$ } defined as θ$_{p}$ = p + 1 4 | sin( p ) − cos( $_{p}$√$_{2)}$ | , p ∈ Z . Utilizing the technique provided in [77, 80], one can verify that the sequences { θ q p } , q ∈ Z , are equipotentially almost periodic. We take the function γ ( t ) with ζ$_{p}$ = θ$_{p}$. One can confirm that the conditions ( C 3) and ( C 9) hold with ¯ θ = 3 / 2 and θ = 1 / 2 , respectively. 

Let us take into account the SICNN 

<img src='content_image/301456.jpg'>

in which i, j = 1 , 2 , 3 , f ( s ) = s 2 2 if | s | ≤ 0 . 1 , f ( s ) = 0 . 005 if | s | > 0 . 1 , τ = 0 . 3 , 

<img src='content_image/301457.jpg'>

