1. Complex Systems Studies
A New Approach to Understand Complex Systems

2. What is it?
A complex system is a system that exhibits some (and possibly all) of the following characteristics:
many components;
dynamically interacting;
feedback loops;
some degree of spontaneous order;
robustness of the order;
self-organization, or in some circumstances;
emergent organization;
hierarchical organization.
Thomas Gomez
Brian Dermody
Qingyi Feng
Joris Broere

3. Why we need it?
Reductionism
Duck = X1 + X2 + X3 + …

4. How? Chemistry Complexity Network Self organization Feedback …...
Non-linear dynamics

5. Networks Social network Transportation network in Paris
Electrical circuits
Networks
Social network
Transportation network in Paris
The graph of a transportation network
Reaction networks
Gene regulatory networks
Network can be represented as graphs equipped with extra structure.
A graph is a bunch of vertices connected by edges.
Medicine: neuron network, disease network, Economics: supply chain
Food web

6. Networks without explicit nodes and links
>= θ R

7. Provided by Complexity Laboratorium Utrecht (CLUe)
Network
Complexity
For example, we can use network theory from the bag of complexity science to diagnose what’s going wrong with our earth under the condition of the global warming, by building links from its surface temperature. In this way, we can analyze such a big complex system in an intuitive way.
Provided by Complexity Laboratorium Utrecht (CLUe)

8. Networks based on Recurrence Plot