New Results for Periodic Solution of High-Order BAM Neural Networks with Continuously Distributed Delays and Impulses

Figure 1

It is confirmed that the system (51) has a unique 𝜋-periodic solution. Here (𝑥₁,𝑦₁) and (𝑥₂,𝑦₂) denote two pairs of solution of system (51) with different initial conditions 𝜙₁(𝑠)=(−𝑒^0.01𝑠+0.4,𝑒^0.01𝑠−0.4)^𝑇 and 𝜙₂(𝑠)=(0.3,−0.3)^𝑇 for 𝑠∈[−1,0] and 𝛾=0.5,𝑡_𝑘−𝑡_𝑘−1=𝜋,𝑘=1,2,….

(a) State response of the impulse-free system (51)

(b) State response of the impulsive system (51)

(c) Phase plots of system (51) without and with impulses, respectively