This third of three volumes presents papers from the third series of NODYCON to be held in June of 2023. The conference papers reflect a broad coverage of topics in nonlinear dynamics, both traditionally placed in established streams of research as well as they stand as newly explored and emerging venues of research. These include * Multi-scale dynamics: multiple time/space scales, large system dynamics * Experimental dynamics: benchmark experiments, experimental methods, instrumentation techniques, measurements in harsh environments, experimental validation of nonlinear models * Reduced-order modeling: center manifold reduction, nonlinear normal modes, normal forms * Systems with time and/or space delays * Nonlinear interactions in multi-dof systems: parametric vibrations, multiple external and autoparametric resonances. * Computational techniques: efficient algorithms, use ofsymbolic manipulators, integration of symbolic manipulation and numerical methods, use of parallel processors. * Nonlinear system identification: parametric/nonparametric identification, data-driven identification * Multibody dynamics: rigid and flexible multibody system dynamics, impact and contact mechanics, tire modeling, railroad vehicle dynamics, biomechanics applications, computational multibody dynamics * Fluid/structure interaction * Nonlinear wave propagation in discrete and continuous media.