Home▸Mathematics▸Phase Portrait — Vector Field & Trajectories (2D)

🌀 Phase Portrait — Vector Field & Trajectories (2D)

Draw the phase plane of a 2D dynamical system on Canvas2D: vector-field arrows, RK4 streamlines, click-to-launch trajectories, and live fixed-point classification (node, saddle, spiral, centre) with eigenvalues.

Mathematics2DModerate60 FPS📱 Mobile-adapted⇄ 3D version

Details

CategoryMathematics

RenderingCanvas 2D

DifficultyModerate

Target FPS60

ControlsSystem select (linear matrix / Van der Pol / damped pendulum), Parameter sliders (matrix entries a,b,c,d or system-specific parameters), Click canvas to launch an RK4 trajectory from that point, Toggle vector-field arrows, Toggle background streamlines, Toggle animated flow, Reset button, Clear trajectories button

phase portraitdynamical systemsodevector fieldvan der pol2d

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⚙ Under the hood

Draw the phase plane of a 2D dynamical system on Canvas2D: correctly computed vector-field arrows, RK4-integrated streamlines, and click-to-launch trajectories from any point. Switch between a tunable linear matrix, the Van der Pol oscillator, and a damped pendulum, and read live eigenvalues and a node/saddle/spiral/centre classification of the fixed point.

phase portraitdynamical systemsodevector fieldvan der pol2d

2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install