M. Chenaud, Status of the ASTRID core at the end of the pre-conceptual design phase 1, Nuclear Engineering and Technology, vol.45, issue.6, pp.721-730, 2013.

J. M. Seiler, Studies on sodium-boiling phenomena in out-of-pile rod bundles for various accidental situations in LMFBR: Experiments and interpretations, Nuclear Engineering and Design, vol.82, issue.2/3, pp.227-239, 1984.

H. M. Kottowski and C. Savatteri, Fundamentals of liquid metal boiling thermohydraulics, vol.82, pp.281-304, 1984.

H. Ninokata, Analysis of the low-heat-flux sodium boiling test in a 37-pin bundle by the twofluid model computer code SABENA, Nuclear Engineering and Design, issue.97, pp.233-246, 1986.

J. M. Seiler, D. Juhel, and P. Dufour, Sodium boiling stabilisation in a fast breeder subassembly during an unprotected loss of flow accident, Nuclear Engineering and Design, vol.240, issue.10, pp.3329-3335, 2010.

J. Perez, N. Alpy, D. Juhel, and D. Bestion, CATHARE 2 simulations of steady state air/water tests performed in a 1:1 scale SFR sub-assembly mock-up, Annals of Nuclear Energy, vol.83, pp.283-297, 2015.

N. Alpy, Phenomenological investigation of sodium boiling in a SFR core during a postulated ULOF transient with CATHARE 2 system code: a stabilized boiling case, Journal of Nuclear Science and Technology, vol.53, issue.5, pp.692-697, 2016.

R. W. Lockhart and R. C. Martinelli, Proposed Correlation of Data for Isothermal Two-Phase, Two-Component Flow in Pipes, Chemical Engineering Progress, vol.45, issue.1, pp.39-48, 1949.

N. Zuber and J. A. Findlay, Average Volumetric Concentration in Two-Phase Flow System, Journal of Heat Transfer, pp.453-468, 1965.

P. Saha and N. Zuber, An analytical study of the thermally induced two-phase flow instabilities including the effect of thermal non-equilibrium, International Journal of Heat and Mass Transfer, vol.21, issue.4, pp.415-426, 1978.

M. Ishii, One-dimensional Drift-flux Model and Constitutive Equations for Relative Motion between Phases in Various Two-phase Flow Regimes, vol.77, 1977.

T. Hibiki and M. Ishii, One-dimensional drift-flux model and constitutive equations for relative motion between phases in various two-phase flow regimes, International Journal of Heat and Mass Transfer, vol.46, issue.25, pp.4935-4948, 2003.

T. Hibiki and M. Ishii, One-dimensional drift-flux model and constitutive equations for relative motion between phases in various two-phase flow regimes, International Journal of Heat and Mass Transfer, vol.46, issue.6, pp.1222-1223, 2003.

J. J. Rizwan-uddin and . Doming, A Chaotic Attractor in a Periodically Forced Two-Phase Flow System, NSE, vol.100, issue.4, pp.393-404, 1988.

J. A. Boure, A. E. Bergles, and L. S. Tong, Review of Two-Phase Flow Instability, Nuclear Engineering and Design, vol.25, pp.165-192, 1973.

S. Kakac and B. Bon, A Review of two-phase flow dynamic instabilities in tube boiling systems, International Journal of Heat and Mass Transfer, vol.51, issue.3-4, pp.399-433, 2008.

C. Lange, D. Hennig, and A. Hurtado, An advanced reduced order model for BWR stability analysis, Progress in Nuclear Energy, vol.53, issue.1, pp.139-160, 2011.

E. Bissen, N. Alpy, and M. Medale, Stability and Bifurcation Analysis of Sodium Boiling in a GEN IV SFR Reactor Core', presented at the FR17 Conference on Fast Reactors and Related Fuel Cycles, 2017.

P. Saha, M. Ishii, and N. Zuber, An Experimental Investigation of the Thermally Induced Flow Oscillations in Two-Phase Systems, J. Heat Transfer, vol.98, issue.4, pp.616-622, 1976.

R. Seydel, Nonlinear Computation, Int. J. Bifurcation Chaos, vol.07, issue.09, pp.2105-2126, 1997.

E. Doedel, Nonlinear Numerics, Int. J. Bifurcation Chaos, vol.07, issue.09, pp.2127-2143, 1997.
URL : https://hal.archives-ouvertes.fr/hal-01634308

R. Seydel, Practical Bifurcation and Stability Analysis, 1994.

H. B. Keller, Nonlinear bifurcation, Journal of Differential Equations, vol.7, issue.3, pp.417-434, 1970.

B. Cochelin, N. Damil, and M. Potier-ferry, , 2007.

E. Hopf, Abzweigung einer periodischen Losung von einer stationaren Losung eines Differentialsystems, Berichten der Mathematisch-Physischen Klasse der Sachsischen Akademie der Wissenschaften zu Leipzig, vol.XCIV, pp.1-22, 1942.

I. Charpentier, B. Cochelin, and K. Lampoh, Diamanlab -An interactive Taylor-based continuation tool in MATLAB, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00853599

G. Yadigaroglu, Instabilities in two-phase flow'. ETH Zurich, Short Course on Modelling and Computation of Mulitphase Flows, 2012.

J. Delhaye, Thermohydraulique des réacteurs, 2008.

S. W. Churchill, Friction Factor Equations Spans All Fluid-Flow Regimes, Chemical Engineering Journal, vol.84, issue.24, pp.91-92, 1977.

M. Ishii, Thermally induced flow instabilities in two-phase mixtures in thermal equilibrium, 1971.