With this workshop, we aim to engage students and researchers in civil and mechanical engineering, mathematical physics, and applied mathematics who are interested in the research themes of the PRIN project. The event will showcase the results achieved through collaborative research made possible by the project, further enriched by invited speakers who will contribute their expertise to advancing knowledge in these areas.

The research focus spans the study of the dynamics of both ordinary and complex systems, from structural and homogeneous scales down to the meso- and nano-scales, with the goal of developing rigorous mathematical and numerical models for system identification based on observed input–output data.

The main research themes explored in this project can be summarized as follows:
1. Wave propagation in metamaterials and multi-phase anisotropic materials.
2. Inverse problem techniques applied to vibration-resonant nanosensors and waveguide filters.
3. Dynamics and stability of structural systems under deterministic and stochastic excitations.

The workshop is expected to provide insights that contribute to advancements in the following areas:
• Sound control through phononic metamaterials and, more broadly, wave propagation in quasi-crystalline-based and generic anisotropic media.
• Development of reliable system identification methods applicable to nanoplate mass sensors, periodic waveguides, and bio-inspired and active materials.
• Advancement of vibration analysis techniques for structural systems, particularly in the presence of nonlinearities and random excitations.

Through interdisciplinary collaboration and knowledge exchange, this workshop aims to foster significant progress in understanding the dynamics of complex systems and the resonant properties of innovative materials, with applications in precision sensing, material diagnostics, and structural health monitoring.