Deterministic Active Matter Generated Using Strange Attractors

Strange attractors are induced by governing differential or integro-differential equations associated with non-linear dynamical systems, but they can also drive such dynamics. When the governing equations contain stochastic forcing, they may also be replaced by deterministic chaotic driving via a governing strange attractor. We outline a flexible deterministic means for such chaotic strange-attractor driven dynamics, and illustrate its utility for modeling active matter. Several active-matter phenomena may be modeled in this manner, such as run-and-tumble particles, run-reverse-flick motion, clustering, jamming and flocking.