Nonlinear ODE Phase Portrait Explorer

Explore phase portraits of nonlinear 2D systems. The vector field shows dx/dt and dy/dt at each point. Nullclines (dx/dt=0 in red, dy/dt=0 in blue) intersect at fixed points. Click to seed a trajectory. Multiple systems demonstrate stable/unstable equilibria, limit cycles (van der Pol), chaos (Lorenz slice), and bifurcations.

1.00
16
0.020
Van der Pol: ẋ = y, ẏ = μ(1−x²)y − x
Fixed pts: μ = 1.00 Trajectories: 0