STANDARD_MAP

CHAOTIC_SYSTEM_VISUALIZATION // MODULE_07

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SYSTEM_PARAMETERS

K 0.971635

Initial p points 10

Initial q points 10

Iterations 20000

p(n+1) = p(n) + K·sin(q(n)) mod 2π

q(n+1) = q(n) + p(n+1) mod 2π

ALERT: High iteration counts may cause rendering latency.

LIVE_RENDER // D3.JS COMPUTE: IDLE

DATA_LOG: STANDARD_MAP

The standard map (also called the Chirikov-Taylor map) is an area-preserving chaotic map from a square with side 2π onto itself. It was introduced as a simplified model for motion in a magnetic field. For low values of K, the map displays regular behavior with stable orbits, while larger K values lead to chaotic dynamics.