These are supposed to represent key conceptual insights coupled with mathematical tools for the analysis and discussion of complex systems in general. Feedback and additions are welcome. The points are provided only in brief. In general some familiarity is assumed. Multi-scale descriptions are needed to understand complex systems.
Fine scales influence large scale behavior.
The specific methods of deterministic chaos are not exclusive of more general issue of fine scale effects on large scale behavior. Dynamics on such a landscape do not average simply. Attractor networks use local minima as memories. There is much discussion of this question. The amount of information necessary to describe the system.