DynamicalSystems.jl: A Julia software library for chaos and nonlinear dynamics

Abstract

Chaotic systems are everywhere (Strogatz 1995), from celestial mechanics to biology to electron transport. Not only do they cover many scales, but the phenomena that fall under the scope of “nonlinear dynamics” are multi-faceted (Faust et al. 2015). This vast extent of chaotic systems requires the use of methods from nonlinear dynamics and chaos theory in many diverse areas of science. On the other hand, chaotic systems are not analytically solvable, therefore studying them often relies on numerical methods. Many such methods have been devised to study the many facets of nonlinear systems, but unfortunately no up-to-date and comprehensive library collecting these methods exists.