LOZI_MAP
CHAOTIC_SYSTEM_VISUALIZATION // MODULE_11
SYSTEM_PARAMETERS
0.500
0.300
0.00
0.00
2000
x(n+1) = 1 + y(n) - a·|x(n)|
y(n+1) = b·x(n)
LIVE_RENDER // D3.JS
DATA_LOG: LOZI_MAP
The Lozi map is a piecewise-linear counterpart to the Hénon map, introduced by René Lozi in 1978. By replacing the quadratic term with an absolute value, it provides a simpler mathematical structure while retaining rich chaotic dynamics. The absolute value creates a kink at x = 0, forming two linear branches that enable rigorous theoretical analysis in certain parameter regions where hyperbolicity holds.