- Definitions, methods for calculation and identification of different non linear modes in vibrating problems,
- Smooth and non smooth non linear problems,
- Weak and strong non linearity,
- benchmarking of the methods via a simple given example: comparison of the accuracy of the methods, convergence questions,
- experimental results,
- infinite dimensional systems,
- stability analysis, bifurcations, symmetry,
- transient problems , energy transition, control,
- Hamiltonian problems,
- applications.