G. Auchmuty, E. Dean, R. Glowinski, and S. C. Zhang, Control Methods for the numerical computation of periodic orbits of autonomous differential equations, Control Problems for Systems Described by Partial Differential Equations and Applications, I. Lasiecka and R

S. M. Baer and T. Erneux, Singular Hopf Bifurcation to Relaxation Oscillations, SIAM Journal on Applied Mathematics, vol.46, issue.5, 1986.
DOI : 10.1137/0146047

S. M. Baer, Singular Hopf Bifurcation to Relaxation Oscillations, SIAM Journal on Applied Mathematics, vol.46, issue.5, 1992.
DOI : 10.1137/0146047

R. Bebbouchi, Canards homocliniques, The 7th International Colloquium on Differential Equations in Bulgaria, 1997.

E. Benoît, Relation entrée-sortie, C. R. Acad. Sci. Paris. Ser. I. Math, vol.293, issue.1, 1981.

B. Braaksma-l, A. Bu?bu?-ri?ri?-c, L. Klí?klí?klí?, and . Purmová, Singular Hopf bifurcation in systems with fast and slow variables Canard solutions and travelling waves in the spruce budworm population model, J. Nonlin. Sci. Appl. Math. Comput, vol.8, issue.183 2, 1998.

R. M. Corless, G. H. Gonnet, D. E. Hare, D. J. Jeffrey, and D. E. Knuth, On the Lambert W function, Adv. Comput. Math, vol.5, issue.1, 1996.

P. R. Da and . Silva, Canard cycles and homoclinic bifurcation in a 3 parameter family of vector fields on the plane, Publ. Math, vol.43, issue.1, 1999.

P. De-maesschalck and M. Desroches, Numerical Continuation Techniques for Planar Slow-Fast Systems, SIAM Journal on Applied Dynamical Systems, vol.12, issue.3, 2013.
DOI : 10.1137/120877386
URL : https://hal.archives-ouvertes.fr/hal-00844785

E. J. Doedel, H. B. Keller, and J. Kernévez, Numerical analysis and control of bifurcation problems Part I: Bifurcation in finite dimensions, Int. J. Bifurcation and Chaos, vol.1, issue.3, 1991.

E. J. Doedel, H. B. Keller, and J. Kernévez, Numerical analysis and control of bifurcation problems Part II: Bifurcation in infinite dimensions, Int. J. Bifurcation and Chaos, vol.1, issue.4, 1991.

E. J. Doedel, A. R. Champneys, F. Dercole, T. F. Fairgrieve, Y. A. Kuznetsov et al., AUTO- 07p: Continuation and bifurcation software for ordinary differential equations, Journal, 2007.

F. Dumortier and R. Roussarie, Birth of canard cycles, Discrete and Continuous Dynamical Systems - Series S, vol.2, issue.4, 2009.
DOI : 10.3934/dcdss.2009.2.723

F. Dumortier, D. Panazzolo, and R. Roussarie, More limit cycles than expected in Liénard equations, Proc. Amer, 2007.

W. Eckhaus, Relaxation oscillations including a standard chase on French ducks, Lecture Notes in Math, vol.2, 1983.
DOI : 10.1016/0022-247X(75)90200-0

G. B. Ermentrout, Simulating, analyzing, and animating dynamical systems: a guide to XPPAUT for researchers and students, p.999, 2004.
DOI : 10.1137/1.9780898718195

S. M. Baer, Article Title, 2002.

J. Françoise and C. C. Pugh, Keeping track of limit cycles, Journal of Differential Equations, vol.65, issue.2, 1986.
DOI : 10.1016/0022-0396(86)90030-6

J. Françoise, N. Roytvarf, and Y. Yomdin, Analytic continuation and fixed points of the Poincar?? mapping for a polynomial Abel equation, Journal of the European Mathematical Society, vol.10, issue.2, 2008.
DOI : 10.4171/JEMS/122

R. Glowinski, Numerical methods for nonlinear variational problems, 1984.

J. Guckenheimer, Bifurcations of relaxation oscillations, NATO Sci. Ser. II Math. Phys. Chem, vol.137, 2004.
DOI : 10.1007/978-94-007-1025-2_8

J. Guckenheimer, Singular Hopf Bifurcation in Systems with Two Slow Variables, SIAM Journal on Applied Dynamical Systems, vol.7, issue.4, 2008.
DOI : 10.1137/080718528

J. Guckenheimer and M. D. Lamar, Periodic Orbit Continuation in Multiple Time Scale Systems, 2007.
DOI : 10.1007/978-1-4020-6356-5_8

J. Härterich, Viscous Profiles of Traveling Waves in Scalar Balance Laws: The Canard Case, Methods and Applications of Analysis, vol.10, issue.1, 2003.
DOI : 10.4310/MAA.2003.v10.n1.a6

M. Hayashi, On Canard Homoclinic of a Li??nard Perturbation System, Applied Mathematics, vol.02, issue.10, 2011.
DOI : 10.4236/am.2011.210170

H. B. Keller, Lectures on numerical methods in bifurcation problems, Tata Institute of Fundamental Research Lectures on Mathematics and Physics, vol.79, 1987.

M. Krupa and P. Szmolyan, Relaxation Oscillation and Canard Explosion, Journal of Differential Equations, vol.174, issue.2, 2001.
DOI : 10.1006/jdeq.2000.3929

O. C. Sisaber and R. Bebbouchi, On a singularly perturbed Liénard system with three equilibrium points, Dynamical Systems and Applications, Proceedings of a conference, pp.5-10, 2004.