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math.DS2025
Selfconsistent Transfer Operators for Heterogeneous Coupled Maps
Herbert M. C. Maquera, Tiago Pereira, Matteo Tanzi
We investigate the dynamics of large heterogeneous network dynamical systems composed of nonlocally coupled chaotic maps. We show that the mean-field limit of such systems is gover…
math.DS2025
Unique Reconstruction From Mean-Field Measurements
Narcicegi Kiran, Tiago Pereira
We address the inverse problem of reconstructing both the structure and dynamics of a network from mean-field measurements, which are linear combinations of node states. This setti…
math.DS2024
Mean-field and fluctuations for hub dynamics in heterogeneous random networks
Zheng Bian, Jeroen S. W. Lamb, Tiago Pereira
In a class of heterogeneous random networks, where each node dynamics is a random dynamical system, interacting with neighbor nodes via a random coupling function, we characterize…