COMPUTING SURFACES...
Hopf Period T = 2π / y
y ≈ 0 (T → ∞)
y = 1.0π (T ≈ 2.0s)
y = 2.0π (T ≈ 1.0s)
Hopf Surface
Interactive 3D Bifurcation Explorer
Resolution (Nω)
500
Resolution (Ny / Nβ)
300
Max Frequency (y_max)
2.0
π
Parameter Probe Point
J
m
β
Hopf Bifurcation Parameters
Frequency y:
3.14
Period T = 2π/y:
2.00 s
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Run Particle Simulation
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McKean-Vlasov Particle System Simulation
Probe parameters: J = 0.55, m = 1.10, β = 0.30
×
Particles (N)
Duration (T)
Step (dt)
Initial State
Uniform(0, 1.2)
All at 0
Re-run Simulation
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Mean Firing Rate
0.000
Total Spikes
0
Empirical Period T
N/A
Theoretical Hopf T
N/A
Mean Firing Rate f̄(t)
Firing Rate f̄(t)
Mean Potential V̄(t)
Raster Plot (Particle Spikes)
Particle index vs Spike time t