Nonlinear 2D Systems · Basins of Attraction · Phase Portrait
Dynamical System
Parameters
Display
At cursor
λ₁ (dominant)—
λ₂—
Fixed pt type—
Basin—
Lyapunov's method: V(x) > 0, dV/dt < 0 → stable. The basin of attraction is {x : trajectory → attractor}. Eigenvalues of Jacobian classify fixed points: both negative = stable node, complex with neg real part = spiral, positive real = unstable, mixed = saddle. Click to launch trajectory.