coral pattern kinda done

scripts/run_simulation.jl

@@ -4,8 +4,8 @@ using .AnimalFurFHN
 include("../src/visualization.jl")
 using .Visualization
 
-N = 100
+N = 128
-tspan = (1.0, 1000.0)
+tspan = (0.0, 2000.0)
 
 sol = AnimalFurFHN.run_simulation(tspan, N)
 

src/solver.jl

@@ -45,10 +45,10 @@ end
 function run_simulation(tspan::Tuple{Float64,Float64}, N::Int)
     # Initial conditions
     # params, y0 = zebra_conditions(N) # tspan of ~3500 enough
-    params, y0 = cell_conditions(N)
+    params, y0 = coral_conditions(N)
 
     prob = ODEProblem(fhn!, y0, tspan, params)
-    sol = solve(prob, BS3(), saveat=10.0)  # You can try `Rosenbrock23()` too
+    sol = solve(prob, BS3(), saveat=50.0)  # You can try `Rosenbrock23()` too
 
     return sol
 end

src/utils.jl

@@ -21,14 +21,13 @@ function cheetah_conditions(N)
     return params, vcat(vec(u0), vec(v0))
 end
 
-function cell_conditions(N)
+function coral_conditions(N)
     # Turing-spot parameters
-    params = FHNParams(N=N, dx=1.0, Du=5e-5, Dv=6e-3, ϵ=0.05, a=0.6, b=0.1)
+    params = FHNParams(N=N, dx=1.0, Du=0.001, Dv=0.06, ϵ=0.05, a=0.0, b=1.2)
 
-    u0 = 0.534522 .* (2 .* rand(N, N) .- 1)  # noise in [-0.05, 0.05]
+    u0, v0 = coral_ic(N)
-    v0 = 0.381802 .* (2 .* rand(N, N) .- 1)
 
-    return params, vcat(vec(u0), vec(v0))
+    return params, vcat(u0, v0)
 end
 
 # helper functions for filling cells in specific places of the matrix
@@ -185,3 +184,15 @@ function squiggle_ic(N, Lx=400.0, Ly=400.0)
 
     return vec(u), vec(v)
 end
+
+function coral_ic(N)
+    u = fill(0.534522, N, N)
+    v = fill(0.381802, N, N)
+
+    for _ in 1:40  # place 15 noisy seeds
+        i, j = rand(10:N-10), rand(10:N-10)
+        u[i-2:i+2, j-2:j+2] .= -0.534522 .+ 0.2 * rand(5, 5)
+    end
+
+    return vec(u), vec(v)
+end