Complex Systems Studies

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Presentation transcript:

Complex Systems Studies A New Approach to Understand Complex Systems

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

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

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

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

Networks without explicit nodes and links >= θ R

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)

Networks based on Recurrence Plot