Coupled Duffig Walk with external linear pumping

{ d xi dt = Δxi dyi d t +K xi3 + (Δ-p(t))xi= i≠j N Jij xixj

p(t)= pump0 for i≤tp and p(t)=eps×t where t(i+1)=t(i)+deltat for i>tp

Time interval: deltat =

Threshold of bifucation: delta =

Non Linearity: K =

Coupling Constant: J =

Initial pumping: pump0 =

Starting point of linear increment: tp =

Slope of pumping: eps =

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