Evolution of Complexity and Evolution to Equilibrium both exhibit the Arrow of Time (see category 'Time and Timelessness'). Here we list Generalised Dynamical Systems, which can describe, model and explain such behavior.
Includes traditional dynamical systems, starting with classical dynamics of point particles, irreversible statistical mechanics, Lotka-Volterra population dynamics and dynamics of complex particles, deterministic, chaotic and stochastic.
Software for simulation of complex dynamics and evolution
Both Open Source , GPL or academic licence and proprietary, commercial software is listed.

The type of licence and OS are listed in write-up when possible.