SA

SA (Strange Attractors) simulates chaotic dynamical systems based on mathematical strange attractors. Strange attractors are sets of states toward which a dynamical system tends to evolve, exhibiting chaotic behavior where small differences in initial conditions lead to vastly different trajectories. This operator provides a collection of famous attractors including Lorenz, Aizawa, Thomas, Halvorsen, and more, each producing unique flowing, spiraling, or butterfly-like patterns.

The simulation supports two solver modes: Simple mode computes the velocity vector from the attractor equations and stores it in the PartVel attribute. Advect mode extends this by also updating particle positions over time, with full simulation controls including initialization, playback, and stepping. You can also define custom attractors using a DAT reference for complete control over the differential equations.

SA includes boundary controls for limiting particle positions with options for clamping, looping, or zig-zag behavior on each axis.