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Effect of non-Markovianity on synchronization

Kun-Jie Zhou(周坤杰),Jian Zou(邹健),Bao-Ming Xu(徐宝明),Lei Li(李磊),Bin Shao(邵彬)

Figure 6. The Pearson coefficient as a function of the collision times N for different Δ. In (a) Δ = 0, (b) Δ = 0.05ω, and (c) Δ = 0.2ω. The blue solid lines, orange dashed lines, yellow dotted lines and purple dashed–dotted lines characterize γ = 0,

$\gamma =\tfrac{\pi }{5}$ ,

$\gamma =\tfrac{\pi }{4}$ ,

$\gamma =\tfrac{\pi }{3}$ respectively. We set J = 0.3ω, λ = 0.1ω, ω₁ = ω, and

$\omega \delta {t}_{{s}_{1}n}=\omega \delta$

${t}_{{s}_{2}n}=\omega \delta {t}_{{s}_{1}{s}_{2}}=0.2$ .