L. N. Virgin, Introduction to experimental nonlinear dynamics: a case study in mechanical vibration, 2000.

S. Masri and T. Caughey, A nonparametric identification technique for nonlinear dynamic problems, Journal of Applied Mechanics, vol.46, issue.2, pp.433-447, 1979.

J. Noël, L. Renson, and G. Kerschen, Complex dynamics of a nonlinear aerospace structure: Experimental identification and modal interactions, Journal of Sound and Vibration, vol.333, issue.12, pp.2588-2607, 2014.

G. Kerschen, K. Worden, A. F. Vakakis, and J. C. Golinval, Nonlinear system identification in structural dynamics: current status and future directions, p.2007, 2007.

K. Worden, G. Kerschen, A. F. Vakakis, and J. C. Golinval, Nonlinear system identification in structural dynamics: A short (and biased) history, 25th International Modal Analysis Conference, p.2007, 2007.

O. Scussel and S. Da-silva, Output-only identification of nonlinear systems via volterra series, Journal of Vibration and Acoustics, vol.138, p.41012, 2016.

P. Bussetta, S. B. Shiki, and S. Da-silva, Nonlinear updating method: a review, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2017.

C. Soize, Uncertainty Quantification: An Accelerated Course with Advanced Applications in Computational Engineering, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01498996

C. Papadimitriou, L. S. Katafygiotis, and J. L. Beck, Approximate analysis of response variability of uncertain linear systems, Probabilistic Engineering Mechanics, vol.10, issue.4, pp.251-264, 1995.

J. L. Beck and L. S. Katafygiotis, Updating models and their uncertainties. i: Bayesian statistical framework, Journal of Engineering Mechanics, vol.124, issue.4, pp.455-461, 1998.

J. L. Beck, Bayesian system identification based on probability logic, Structural Control and Health Monitoring, vol.17, issue.7, pp.825-847, 2010.

J. L. Beck and A. Taflanidis, Prior and posterior robust stochastic predictions for dynamical systems using probability logic, International Journal for Uncertainty Quantification, vol.3, issue.4, pp.271-288, 2013.

W. J. Yan and L. S. Katafygiotis, A novel bayesian approach for structural model updating utilizing statistical modal information from multiple setups, engineering Analyses with Vague and Imprecise Information, vol.52, pp.260-271, 2015.

I. Behmanesh, B. Moaveni, G. Lombaert, and C. Papadimitriou, Hierarchical Bayesian model updating for structural identification, Mechanical Systems and Signal Processing, vol.64, pp.360-376, 2015.

T. Ritto, R. Sampaio, and R. Aguiar, Uncertain boundary condition bayesian identification from experimental data: A case study on a cantilever beam, Mechanical Systems and Signal Processing, vol.68, pp.176-188, 2016.

E. Capiez-lernout and C. Soize, Robust updating of uncertain damping models in structural dynamics for low-and medium-frequency ranges, Mechanical Systems and Signal Processing, vol.22, issue.8, pp.1774-1792, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00684795

C. Soize, E. Capiez-lernout, and R. Ohayon, Robust updating of uncertain computational models using experimental modal analysis, AIAA journal, vol.46, issue.11, pp.2955-2965, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00787847

A. Batou, C. Soize, and S. Audebert, Model identification in computational stochastic dynamics using experimental modal data. Mechanical Systems and Signal Processing 50, pp.307-322, 2015.
URL : https://hal.archives-ouvertes.fr/hal-00989208

I. Kovacic and M. J. Brennan, The Duffing equation: nonlinear oscillators and their behaviour, 2011.

L. Wassermann, All of Nonparametric Statistics, 2006.

R. Y. Rubinstein and D. P. Kroese, Simulation and the Monte Carlo Method, 2016.