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Probabilistic Behavioral Distance and Tuning - Reducing and aggregating complex systems

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/persons/resource/frank.hellmann

Hellmann,  Frank       
Potsdam Institute for Climate Impact Research;

/persons/resource/ekaterina.zolotarevskaia

Zolotarevskaia,  Ekaterina
Potsdam Institute for Climate Impact Research;

/persons/resource/Juergen.Kurths

Kurths,  Jürgen
Potsdam Institute for Climate Impact Research;

Raisch,  Jörg
External Organizations;

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28348oa.pdf
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Hellmann, F., Zolotarevskaia, E., Kurths, J., Raisch, J. (2023): Probabilistic Behavioral Distance and Tuning - Reducing and aggregating complex systems. - Journal of Physics: Complexity, 4, 2, 025007.
https://doi.org/10.1088/2632-072X/acccc9


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Given two dynamical systems, we quantify how similar they are with respect to their interaction with the outside world. We focus on the case where simpler systems act as a specification for a more complex one. Combining a behavioral and probabilistic perspective we define several useful notions of the distance of a system to a specification. We show that these distances can be used to tune a complex system. We demonstrate that our approach can successfully make non-linear networked systems behave like much smaller networks, allowing us to aggregate large sub-networks into one or two effective nodes. Finally, we discuss similarities and differences between our approach and H∞ model reduction.