Z. Nili, A. Siamak, and E. Khadem, Annihilation of high-amplitude periodic responses of a forced two degrees-of-freedom oscillatory system using nonlinear energy sink, Journal of Vibration and Control, vol.1916, issue.16, pp.2401-2412, 2401.

S. Bab, . Khadem, M. Mahdiabadi, and . Shahgholi, Vibration mitigation of a rotating beam under external periodic force using a nonlinear energy sink (NES), Journal of Vibration and Control, vol.23, issue.6
DOI : 10.1016/j.ijnonlinmec.2014.03.002

S. Bab, S. E. Khadem, and M. Shahgholi, Lateral vibration attenuation of a rotor under mass eccentricity force using non-linear energy sink, International Journal of Non-Linear Mechanics, vol.67, pp.251-266, 2014.
DOI : 10.1016/j.ijnonlinmec.2014.08.016

R. Bellet, B. Cochelin, P. Herzog, and P. Mattei, Experimental study of targeted energy transfer from an acoustic system to a nonlinear membrane absorber, Journal of Sound and Vibration, vol.329, issue.14, pp.2768-2791, 2010.
DOI : 10.1016/j.jsv.2010.01.029
URL : https://hal.archives-ouvertes.fr/hal-00461706

B. Bergeot, S. Bellizzi, and B. Cochelin, Analysis of steady-state response regimes of a helicopter ground resonance model including a non-linear energy sink attachment, International Journal of Non-Linear Mechanics, vol.78, pp.72-89, 2016.
DOI : 10.1016/j.ijnonlinmec.2015.10.006

B. Bergeot, S. Bellizzi, and B. Cochelin, Passive suppression of helicopter ground resonance instability by means of a strongly nonlinear absorber, Advances in aircraft and spacecraft science, vol.3, issue.3, pp.271-298, 2016.
DOI : 10.12989/aas.2016.3.3.271
URL : https://hal.archives-ouvertes.fr/hal-01343438

C. Chevennement-roux, T. Dreher, P. Alliot, E. Aubry, J. Lainé et al., Flexible Wiper System Dynamic Instabilities: Modelling and Experimental Validation, Experimental Mechanics, vol.52, issue.4???5, pp.201-210, 2007.
DOI : 10.1002/9783527617548
URL : https://hal.archives-ouvertes.fr/hal-00877283

M. Desroches, J. Guckenheimer, B. Krauskopf, C. Kuehn, H. Osinga et al., Mixed-Mode Oscillations with Multiple Time Scales, SIAM Review, vol.54, issue.2, pp.211-288, 2012.
DOI : 10.1137/100791233
URL : https://hal.archives-ouvertes.fr/hal-00765216

E. Domany and O. V. Gendelman, Dynamic responses and mitigation of limit cycle oscillations in Van der Pol???Duffing oscillator with nonlinear energy sink, Journal of Sound and Vibration, vol.332, issue.21, pp.5489-5507, 2013.
DOI : 10.1016/j.jsv.2013.05.001

A. F. Souza and A. H. Dweib, Self-excited vibrations induced by dry friction, part 2: Stability and limit-cycle analysis, Journal of Sound and Vibration, vol.137, issue.2, pp.177-190, 1990.
DOI : 10.1016/0022-460X(90)90787-Z

M. Eriksson and S. Jacobson, Friction behaviour and squeal generation of disc brakes at low speeds, Proceedings of the Institution of Mechanical Engineers, pp.1245-1256, 2001.
DOI : 10.1016/S0301-679X(00)00127-4

M. Farid, V. Oleg, and . Gendelman, Tuned pendulum as nonlinear energy sink for broad energy range, Journal of Vibration and Control, vol.23, issue.3, pp.10-1177, 2015.
DOI : 10.1115/1.1368883

N. Fenichel, Geometric singular perturbation theory for ordinary differential equations, Journal of Differential Equations, vol.31, issue.1, pp.53-98, 1979.
DOI : 10.1016/0022-0396(79)90152-9
URL : https://doi.org/10.1016/0022-0396(79)90152-9

G. Fritz, J. Sinou, J. Duffal, and L. Jézéquel, Investigation of the relationship between damping and mode-coupling patterns in case of brake squeal, Journal of Sound and Vibration, vol.307, issue.3-5, pp.591-609, 2007.
DOI : 10.1016/j.jsv.2007.06.041
URL : https://hal.archives-ouvertes.fr/hal-00225720

O. V. Gendelman, Targeted energy transfer in systems with external and self-excitation, Proceedings of the Institution of Mechanical Engineers, pp.2007-2043, 2007.
DOI : 10.1016/j.jsv.2007.12.024

O. V. Gendelman and T. Bar, Bifurcations of self-excitation regimes in a Van der Pol oscillator with a nonlinear energy sink, Physica D: Nonlinear Phenomena, vol.239, issue.3-4, pp.220-229, 2010.
DOI : 10.1016/j.physd.2009.10.020

O. V. Gendelman, A. F. Vakakis, L. A. Bergman, and D. M. Mcfarland, Asymptotic Analysis of Passive Nonlinear Suppression of Aeroelastic Instabilities of a Rigid Wing in Subsonic Flow, SIAM Journal on Applied Mathematics, vol.70, issue.5, pp.1655-1677, 2010.
DOI : 10.1137/090754819

E. Gourc, S. Seguy, G. Michon, and A. Berlioz, Chatter Control in Turning Process with a Nonlinear Energy Sink, Advanced Materials Research, vol.698, pp.89-98, 2013.
DOI : 10.4028/www.scientific.net/AMR.698.89
URL : http://sebastien.seguy.voila.net/publi/amr_13.pdf

E. Gourdon, N. A. Alexander, C. A. Taylor, C. H. Lamarque, and S. Pernot, Nonlinear energy pumping under transient forcing with strongly nonlinear coupling: Theoretical and experimental results, Journal of Sound and Vibration, vol.300, issue.3-5, pp.522-551, 2007.
DOI : 10.1016/j.jsv.2006.06.074
URL : https://hal.archives-ouvertes.fr/hal-00815136

J. Grasman, Asymptotic Methods for Relaxation Oscillations and Applications, Applied Mathematical Sciences, vol.63, 1987.
DOI : 10.1007/978-1-4612-1056-6

B. Hervé, J. Sinou, H. Mahé, and L. Jézéquel, Analysis of squeal noise and mode coupling instabilities including damping and gyroscopic effects, European Journal of Mechanics - A/Solids, vol.27, issue.2
DOI : 10.1016/j.euromechsol.2007.05.004

N. Hoffmann and L. Gaul, Effects of damping on mode-coupling instability in friction induced oscillations, {ZAMM} -Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, pp.524-534, 2003.
DOI : 10.1002/zamm.200310022

J. Hultén, Brake Squeal - A Self-Exciting Mechanism with Constant Friction, SAE Technical Paper Series, 1993.
DOI : 10.4271/932965

J. Hultén, Friction phenomena related to drum brake squeal instabilities, ASME Design Engineering Technical Conferences, 1997.

. R. Christopherk and . Jones, Geometric singular perturbation theory, Dynamical Systems, pp.44-118, 1995.

D. M. Gaëtan-kerschen, J. J. Mcfarland, Y. S. Kowtko, L. A. Lee, A. F. Bergman et al., Experimental demonstration of transient resonance capture in a system of two coupled oscillators with essential stiffness nonlinearity, Journal of Sound and Vibration, vol.299, issue.4-5, pp.822-838, 2007.
DOI : 10.1016/j.jsv.2006.07.029

Y. S. Lee, A. F. Vakakis, L. A. Bergman, and D. M. Mcfarland, Suppression of limit cycle oscillations in the van der Pol oscillator by means of passive nonlinear energy sinks. Structural Control and Health Monitoring, pp.41-75, 2006.

Y. S. Lee, A. F. Vakakis, L. A. Bergman, D. M. Mc-farland, and G. Kerschen, Suppression Aeroelastic Instability Using Broadband Passive Targeted Energy Transfers, Part 1: Theory, AIAA Journal, vol.454, issue.3, pp.693-711, 2007.
DOI : 10.1023/A:1012994430793

Y. S. Lee, A. F. Vakakis, L. A. Bergman, D. M. Mc-farland, and G. Kerschen, Suppressing Aeroelastic Instability Using Broadband Passive Targeted Energy Transfers, Part 2: Experiments, AIAA Journal, vol.47, issue.2, pp.2391-2400, 2007.
DOI : 10.1115/1.3424568

A. Luongo and D. Zulli, Aeroelastic instability analysis of NES-controlled systems via a mixed multiple scale/harmonic balance method, Journal of Vibration and Control, vol.46, issue.13, pp.10-1177, 2013.
DOI : 10.1007/s11071-011-9949-x
URL : https://hal.archives-ouvertes.fr/hal-00909812

L. I. Manevitch, Complex Representation of Dynamics of Coupled Nonlinear Oscillators, LudmilaA . Uvarova, ArkadiiE. Arinstein, and AnatoliiV . Latyshev Mathematical Models of Non-Linear Excitations, Transfer, Dynamics, and Control in Condensed Systems and Other Media, pp.269-300, 1999.
DOI : 10.1007/978-1-4615-4799-0_24

L. Nechak, S. Berger, and E. Aubry, Non-intrusive generalized polynomial chaos for the robust stability analysis of uncertain nonlinear dynamic friction systems, Journal of Sound and Vibration, vol.332, issue.5, pp.1204-1215, 2013.
DOI : 10.1016/j.jsv.2012.09.046
URL : https://hal.archives-ouvertes.fr/hal-00983283

J. T. Oden and J. A. Martins, Models and computational methods for dynamic friction phenomena, Computer Methods in Applied Mechanics and Engineering, vol.52, issue.1-3, pp.527-6340045, 1985.
DOI : 10.1016/0045-7825(85)90009-X

J. Sinou, O. Dereure, G. Mazet, F. Thouverez, and L. Jezequel, Friction-induced vibration for an aircraft brake system???Part 1: Experimental approach and stability analysis, International Journal of Mechanical Sciences, vol.48, issue.5, pp.536-554, 2006.
DOI : 10.1016/j.ijmecsci.2005.12.002
URL : https://hal.archives-ouvertes.fr/hal-00207536

J. Sinou, F. Thouverez, L. Jezequel, O. Dereure, and G. Mazet, Friction induced vibration for an aircraft brake system???Part 2: Non-linear dynamics, International Journal of Mechanical Sciences, vol.48, issue.5, pp.555-567
DOI : 10.1016/j.ijmecsci.2005.12.003
URL : https://hal.archives-ouvertes.fr/hal-00207542

J. J. , S. , and L. Jézéquel, Mode coupling instability in friction-induced vibrations and its dependency on system parameters including damping, European Journal of Mechanics, A/Solids, vol.26, issue.1, pp.106-122, 2007.

Y. Starosvetsky and O. V. Gendelman, Strongly modulated response in forced 2DOF oscillatory system with essential mass and potential asymmetry, Physica D: Nonlinear Phenomena, vol.237, issue.13, pp.1719-1733, 2008.
DOI : 10.1016/j.physd.2008.01.019

A. F. Vakakis and O. V. Gendelman, Energy Pumping in Nonlinear Mechanical Oscillators: Part II???Resonance Capture, Journal of Applied Mechanics, vol.170, issue.1, pp.42-48, 2001.
DOI : 10.1006/jsvi.1994.1049

A. F. Vakatis, O. V. Gendelman, L. A. Bergman, D. M. Mcfarland, G. Kerschen et al., Nonlinear Targeted Energy Transfer in Mechanical and Structural Systems, 2008.