[2F1] Distinguished overview speaker: Stochastic resonances, extreme events and synchronisation in thin-walled structures
F Pellicano
University of Modena and Reggio Emilia, Italy
The lecture is focused on the fascinating and complex behaviour of non-linear systems when subjected to random excitation. While the response of linear vibrating systems under stochastic forces is well understood and can be analysed using standardised methods, non-linear systems exhibit intricate and often surprising dynamics. The study of such systems remains an active area of research, as their responses can differ drastically from those of their linear counterparts. Non-linear systems, due to their inherent complexity, may exhibit behaviours such as bifurcations, chaos or stochastic resonance, making their analysis significantly more challenging.
This lecture will provide a comprehensive overview of the progress made over the past decades in understanding the non-linear dynamics of systems exposed to both strong and weak random forcing. In particular, it will explore how noise can induce counterintuitive effects in non-linear structures, such as energy localisation, noise-induced coherence and even synchronisation to seemingly unstructured excitation. Special attention will be given to the phenomenon of stochastic resonance, a process where random fluctuations enhance the response of a system rather than degrading it. Experimental evidence supporting these theoretical insights will be presented, highlighting cases where structures subjected to purely random excitation exhibit emergent behaviours, including synchronisation with white noise inputs and the sudden appearance of response bursts. These findings have broad implications across various fields of engineering and physics, where understanding and controlling the effects of noise in non-linear systems is crucial for the design and optimisation of complex dynamical systems.
This lecture will provide a comprehensive overview of the progress made over the past decades in understanding the non-linear dynamics of systems exposed to both strong and weak random forcing. In particular, it will explore how noise can induce counterintuitive effects in non-linear structures, such as energy localisation, noise-induced coherence and even synchronisation to seemingly unstructured excitation. Special attention will be given to the phenomenon of stochastic resonance, a process where random fluctuations enhance the response of a system rather than degrading it. Experimental evidence supporting these theoretical insights will be presented, highlighting cases where structures subjected to purely random excitation exhibit emergent behaviours, including synchronisation with white noise inputs and the sudden appearance of response bursts. These findings have broad implications across various fields of engineering and physics, where understanding and controlling the effects of noise in non-linear systems is crucial for the design and optimisation of complex dynamical systems.
