Claim of John Dennis

Spatio-temporal dynamics of an active, polar, viscoelastic ring

“…The results of the linear stability analysis are confirmed by numerical simulations [17] of the full nonlinear system eqs. (9)(10)(11), supplemented for simplicity by random initial conditions, and by periodic boundary conditions (see figure 1).…”

“…The linear stability analysis of the homogeneous state v = e = p = 0 unfolds as in section 3.1. For the system (9)-(11)-(23), the necessary condition for a stationary bifurcation is 23) were performed with XMDS2 [17], with periodic initial conditions, eqs. (18), with k = 0.5 and ϕ0 = 0.5, and periodic boundary conditions.…”

“…Numerical simulations of eqs (9)(10)(11). were performed with XMDS2[17], with random initial conditions and periodic boundary conditions. The parameter values are: a = 1, K = 1, w = 1, τ = τe = τp = 1, vp = 0, λ = 1, αa = 2, Γp = 1, ν = 1, leading to a threshold l c p = 6, see eq.…”

“…Numerical simulations of eqs (9)(10)(11). were performed with XMDS2[17], with periodic boundary conditions, and periodic initial conditions, eqs (18). with k = 0.5 and ϕ0 = 0.5.…”