Discrete dynamical systems, a.k.a. maps
See Nonlinear map
See Automata theory, Cellular automata, Boolean network, Dynamical systems on networks..
Great software to explore discrete dynamics: Discrete Dynamics Lab Tools for researching Cellular Automata, Random Boolean Networks, multi-value Discrete Dynamical Networks, and beyond
Discrete dynamical
An Introduction to chaotic dynamical systems. Second edition Chaos theory
Workshop on Combinatorics, Number Theory and Dynamical Systems - Artur Avila