Phase Portraits & Nullclines

Explore 2D dynamical systems through vector fields, nullclines, and trajectories. Click on the phase plane to launch trajectories. Nullclines (where ẋ=0 or ẏ=0) reveal fixed point locations.

x-nullcline (ẋ=0)   y-nullcline (ẏ=0)   trajectories

Lotka-Volterra

ẋ = αx − βxy
ẏ = δxy − γy
α1.00
β0.50
δ0.50
γ1.00

Fixed Points

View Range

x max6.0
y max6.0