Networks can be useful tools to approach the understanding of complex systems. In physics, networks have been seen as tools but also as a research subject via the tools of statistical mechanics (entropy-based, mostly) and nonlinear science. In this regard, we have been developing tools to construct networks to described granular systems which go through phase transitions. You can check some of our recent work here:
Statistics of a granular cluster ensemble at a liquid-solid-like phase transition (2023) with E. Navarro.
Symmetry-induced drfiting chimera states (2024) with J. López (submitted).
Waves can interact with structures. These interactions can be studied both experimentally and theoretically in different situations, creating interesting physical responses. We've been developing simple experimental setups to study wave-vortex interaction, or developed an aeroacoustic analogs for water waves. You can check some of our recent work here:
Shallow water wave propagation over curved wave guides (2025) with E. Rosas and F. Sepúlveda-Soto
Weakly nonlinear two dimensional wave scattering in incompressible pre-stressed materials: far field approximation (2022) with M. Letelier
Observation of broad‐band water waveguiding in shallow water: a revival (2020) with F. Sepúlveda‐Soto, D. Guzmán‐Silva, E. Rosas and R. A. Vicencio