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Non-smooth dynamical systems are integral to many engineering applications, including vibration control, energy dissipation, stability analysis, and nonlinear electronic circuits. The growing interest in this field has led to significant advances in theoretical modeling, computational techniques, and experimental validations, which are reflected in the contributions of this proceedings. Such studies are fundamental in understanding and modeling discontinuous behaviors such as impacts, friction, switching, and vibro-impact phenomena. This volume presents a collection of selected papers from NSDS 2023, covering a diverse range of topics that were considered in the colloquium. The articles cover theoretical approaches, computational methods, and experimental investigations, providing a snapshot of some of the current research and future directions in this field.