Extending the zero-derivative principle for slow???fast dynamical systems, Zeitschrift f??r angewandte Mathematik und Physik, vol.14, issue.4, 2014. ,
DOI : 10.1007/s00033-015-0552-8
URL : https://hal.archives-ouvertes.fr/hal-01243307
Complex dynamics in a cross-catalytic self-replication mechanism, The Journal of Chemical Physics, vol.126, issue.12, 2010. ,
DOI : 10.1063/1.2716396
About non-coincidence of invariant manifolds and intrinsic low dimensional manifolds (ILDM), Communications in Nonlinear Science and Numerical Simulation, vol.13, issue.6, pp.1029-1038, 2008. ,
DOI : 10.1016/j.cnsns.2006.09.002
Relaxation oscillations and canards in a nonlinear model of discontinuous plastic deformation in metals at very low temperatures Canard explosion of limit cycles in templator models of self-replication mechanisms, Proceedings of the Royal Society of London . Series A: Mathematical, Physical and Engineering Sciences The Journal of Chemical Physics, vol.7, pp.461-2289, 2005. ,
An iterative method for the canard explosion in general planar systems, 2012. ,
Asymptotic Analysis of Canards in the EOE Equations and the Role of the Inflection Line, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.445, issue.1924, pp.445-305, 1994. ,
DOI : 10.1098/rspa.1994.0063
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
Canards and curvature: the 'smallness of ??' in slow-fast dynamics, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.4, issue.2, pp.467-2404, 2011. ,
DOI : 10.1007/s00285-005-0347-1
Inflection, canards and excitability threshold in neuronal models, Journal of Mathematical Biology, vol.946, issue.1, 2012. ,
DOI : 10.1007/s00285-012-0576-z
URL : https://hal.archives-ouvertes.fr/hal-00765148
Geometric singular perturbation theory for ordinary differential equations, Journal of Differential Equations, vol.31, issue.1, pp.31-53, 1979. ,
DOI : 10.1016/0022-0396(79)90152-9
Differential geometry applied to dynamical systems, World Scientific, vol.66, 2009. ,
DOI : 10.1142/7333
URL : https://hal.archives-ouvertes.fr/hal-01101601
The flow curvature method applied to canard explosion, Journal of Physics A: Mathematical and Theoretical, vol.44, issue.46, p.465203, 2011. ,
DOI : 10.1088/1751-8113/44/46/465203
CANARDS FROM CHUA'S CIRCUIT, International Journal of Bifurcation and Chaos, vol.23, issue.04, p.1330010, 2013. ,
DOI : 10.1142/S0218127413300103
DIFFERENTIAL GEOMETRY AND MECHANICS: APPLICATIONS TO CHAOTIC DYNAMICAL SYSTEMS, International Journal of Bifurcation and Chaos, vol.16, issue.04, pp.887-910, 2006. ,
DOI : 10.1142/S0218127406015192
URL : https://hal.archives-ouvertes.fr/hal-01054308
SLOW INVARIANT MANIFOLDS AS CURVATURE OF THE FLOW OF DYNAMICAL SYSTEMS, International Journal of Bifurcation and Chaos, vol.18, issue.11, pp.3409-3430, 2008. ,
DOI : 10.1142/S0218127408022457
URL : https://hal.archives-ouvertes.fr/hal-01054314
Asymptotic analysis of two reduction methods for systems of chemical reactions, Physica D: Nonlinear Phenomena, vol.165, pp.66-93, 2002. ,
Simplifying chemical kinetics: Intrinsic low-dimensional manifolds in composition space, Combustion and Flame, vol.88, issue.3-4, pp.239-264, 1992. ,
DOI : 10.1016/0010-2180(92)90034-M
Inflector analysis of the second stage of the transient phase for an enzymatic one-substrate reaction, Progress of Theoretical Physics, pp.1827-1840, 1982. ,
Mixed-mode oscillations in a selfreplicating dimerization mechanism, Biophysical Chemistry, 1997. ,
False Bifurcations in Chemical Systems: Canards, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.337, issue.1646, pp.275-289, 1991. ,
DOI : 10.1098/rsta.1991.0123
Trajectoires lentes des systèmes dynamique lent-rapides, in Analysis and optimization of systems, no. 83 in Lecture Notes in Control and Information Sciences, pp.680-695, 1986. ,
Analysis of the accuracy and convergence of equation-free projection to a slow manifold, ESAIM: Mathematical Modelling and Numerical Analysis, vol.43, issue.4, pp.43-757, 2009. ,
DOI : 10.1051/m2an/2009026
Non-standard analysis and singular perturbations of ordinary differential equations, Russian Mathematical Surveys, vol.39, issue.2, pp.69-131, 1984. ,
DOI : 10.1070/RM1984v039n02ABEH003091