The fate of real systems

Improving our understanding of real-world networks with sophisticated analyses of realistic complications.

To understand a theoretical complex network, with simplified connections and structure, is no mean feat. It is another challenge entirely to shift that network into the real world, with all of its complications, and repeat the trick. However, it is vital to find a way to use what we have learnt from the solutions of idealised networks and extend them to practical scenarios.

In this project, we investigate how networks grow, synchronise and become unstable or disordered under real-world conditions. We tackle complications such as finite carrying capacity, and small-scale perturbations which lead to transient dynamics. These technicalities require fine-grained insight into the time evolution of the networks and sophisticated methods such as transfer operator analysis to get a handle on all of the moving parts.

The ability to solve realistic complex networks will make it possible to predict the behaviour of real-world systems under the imperfect stresses and changes that they are subjected to. These results will be of importance to studies of populations, ecosystems and financial systems, in order to inform societal and political decisions.

The fate of real systems
The fate of real systems
The fate of real systems
The fate of real systems
The fate of real systems
The fate of real systems
The fate of real systems
The fate of real systems
The fate of real systems
The fate of real systems
The fate of real systems
The fate of real systems
The fate of real systems
The fate of real systems
The fate of real systems
The fate of real systems

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