STANDARD_MAP
CHAOTIC_SYSTEM_VISUALIZATION // MODULE_07
SYSTEM_PARAMETERS
0.971635
10
10
20000
p(n+1) = p(n) + Kยทsin(q(n)) mod 2ฯ
q(n+1) = q(n) + p(n+1) mod 2ฯ
ALERT: High iteration counts may cause rendering latency.
LIVE_RENDER // D3_JS
DATA_LOG: STANDARD_MAP
The standard map (also called the Chirikov-Taylor map) is an area-preserving chaotic map from a square with side 2ฯ 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.