Dadras Strange Attractor

A 3D chaotic attractor with auto-rotation and speed-based coloring

a 3.0
b 2.7
c 1.7
d 2.0
e 9.0
Speed 3
Dadras Attractor: Discovered by Sara Dadras and Hamid Reza Dadras in 2009, this is a 3D autonomous chaotic system defined by ẋ = y − ax + byz, ẏ = cy − xz + z, ż = dxy − ez. For appropriate parameter values, solutions never repeat yet remain bounded — the hallmark of a strange attractor. Chaos here means tiny differences in initial conditions grow exponentially (positive Lyapunov exponent), making long-term prediction impossible. Color encodes instantaneous speed — brighter orange means faster motion through phase space.