G. Alefeld and G. Mayer, Interval analysis: theory and applications, Journal of Computational and Applied Mathematics, vol.121, issue.1-2, pp.421-464, 2000.
DOI : 10.1016/S0377-0427(00)00342-3

URL : http://doi.org/10.1016/s0377-0427(00)00342-3

E. L. Allgower and K. Georg, Introduction to Numerical Continuation Methods, 2003.
DOI : 10.1137/1.9780898719154

T. M. Cameron and J. H. Griffin, An Alternating Frequency/Time Domain Method for Calculating the Steady-State Response of Nonlinear Dynamic Systems, Journal of Applied Mechanics, vol.56, issue.1, pp.149-154, 1989.
DOI : 10.1115/1.3176036

URL : https://hal.archives-ouvertes.fr/hal-01333697

Q. Ding, J. E. Cooper, and A. Y. Leung, Application of an improved cell mapping method to bilinear stiffness aeroelastic systems, Journal of Fluids and Structures, vol.20, issue.1, pp.35-49, 2005.
DOI : 10.1016/j.jfluidstructs.2004.09.003

K. Georg, Improving the efficiency of exclusion algorithms Advances in Geometry, pp.193-210, 2001.

K. Georg, A new exclusion test, Journal of Computational and Applied Mathematics, vol.152, issue.1-2, pp.147-160, 2003.
DOI : 10.1016/S0377-0427(02)00702-1

R. Guder and E. Kreuzer, Control of an adaptive refinement technique of generalized cell mapping by system dynamics, Nonlinear Dynamics, vol.20, issue.1, p.2132, 1999.

E. J. Hahn and P. Y. Chen, Harmonic Balance Analysis of General Squeeze Film Damped Multidegree-of-Freedom Rotor Bearing Systems, Journal of Tribology, vol.116, issue.3, pp.499-507, 1994.
DOI : 10.1115/1.2928872

C. S. Hsu, Cell-to-Cell Mapping, a method of global analysis for non linear systems, 1987.

T. Y. Li, Numerical solution of multivariate polynomial systems by homotopy continuation methods, Acta Numerica, vol.107, pp.399-436, 1997.
DOI : 10.1007/BF01389312

T. Y. Li, T. Sauer, and J. A. Yorke, The random product homotopy and deficient polynomial systems, Numerische Mathematik, vol.44, issue.5, pp.481-500, 1987.
DOI : 10.1007/BF01400351

H. Liang, F. Bai, and L. Shi, Computing the optimal partition of variables in multi-homogeneous homotopy methods, Applied Mathematics and Computation, vol.163, issue.2, pp.825-840, 2005.
DOI : 10.1016/j.amc.2004.04.013

A. Morgan and A. Sommese, A homotopy for solving general polynomial systems that respects m-homogeneous structures, Applied Mathematics and Computation, vol.24, issue.2, pp.101-113, 1987.
DOI : 10.1016/0096-3003(87)90063-4

A. Morgan and A. Sommese, Computing all solutions to polynomial systems using homotopy continuation, Applied Mathematics and Computation, vol.24, issue.2, pp.115-153, 1987.
DOI : 10.1016/0096-3003(87)90064-6

S. Nacivet, C. Pierre, F. Thouverez, and L. Jezequel, A dynamic Lagrangian frequency???time method for the vibration of dry-friction-damped systems, Journal of Sound and Vibration, vol.265, issue.1, pp.201-219, 2003.
DOI : 10.1016/S0022-460X(02)01447-5

E. Sarrouy, Analyse globale de systmes mcaniques non-linaires -Application la dynamique des rotors

R. Seydel, From Equilibrium to Chaos, Practical Bifurcation and Stability Analysis, 1988.

J. J. Sinou, F. Thouverez, and L. Jezequel, Center manifold and multivariable approximants applied to non-linear stability analysis, International Journal of Non-Linear Mechanics, vol.38, issue.9, pp.1421-1442, 2003.
DOI : 10.1016/S0020-7462(02)00080-X

URL : https://hal.archives-ouvertes.fr/hal-00214135

A. J. Sommese and C. W. Wampler, The Numerical Solution of Systems of Polynomials Arising in Engineering and Science, 2005.
DOI : 10.1142/5763

Y. Tao, H. Liang, and F. Bai, A hybrid algorithm for multi-homogeneous B??zout number, Applied Mathematics and Computation, vol.189, issue.2, pp.1755-1764, 2007.
DOI : 10.1016/j.amc.2006.12.053

C. W. Wampler, Bezout number calculations for multi-homogeneous polynomial systems, Applied Mathematics and Computation, vol.51, issue.2-3, pp.143-157, 1992.
DOI : 10.1016/0096-3003(92)90070-H

L. T. Watson, Probability-one homotopies in computational science, Journal of Computational and Applied Mathematics, vol.140, issue.1-2, pp.785-807, 2002.
DOI : 10.1016/S0377-0427(01)00473-3

A. H. Wright, Finding all solutions to a system of polynomial equations, Mathematics of Computation, vol.44, issue.169, pp.125-133, 1985.
DOI : 10.1090/S0025-5718-1985-0771035-4

Z. Xu, J. Zhang, and W. Wang, A cell exclusion algorithm for determining all the solutions of a nonlinear system of equations, Applied Mathematics and Computation, vol.80, issue.2-3, pp.181-208, 1996.
DOI : 10.1016/0096-3003(95)00286-3

K. Yamamura, P. Kawata, and A. Tokue, Interval solution of nonlinear equations using linear programming, BIT Numerical Mathematics, vol.39, issue.1, pp.186-199, 1998.
DOI : 10.1007/BF02510924

J. Y. Zhao and E. J. Hahn, Eccentric Operation and Blade-Loss Simulation of a Rigid Rotor Supported by an Improved Squeeze Film Damper, Journal of Tribology, vol.117, issue.3, pp.490-497, 1995.
DOI : 10.1115/1.2831280

W. Zulehner, A simple homotopy method for determining all isolated solutions to polynomial systems, Mathematics of Computation, vol.50, issue.181, pp.167-177, 1988.
DOI : 10.1090/S0025-5718-1988-0917824-7