📐 ODE Vector Field · 10×10 Grid

⚡ Each point ⇾ assigned function (dx/dt, dy/dt) = Harmonic Oscillator — visualising the phase plane dynamics

📌 PRESET VECTOR FIELDS

📐 Arrow scale (max length)

shortlong

🧬 CUSTOM FUNCTIONS (dx/dt , dy/dt) using x,y

examples: "x - y" , "sin(x)" , "y*s" , "s * (x+y)" — s is a hidden "vippa" state (-1 or 1)

🎬 DYNAMICS

Animate Flow & Vippor

vector magnitude | 🔴/🔵 point = state s

🎯 Click/Drag to mark points | "Apply to Marked" for local rules

📐 max |F| = --

🧠 s senses energy alignment: s=1 (outward), s=-1 (inward)