Homoclinic bifurcations in radiating diffusion flames, Combustion Theory and Modelling, vol.1, issue.1, pp.40-52, 2013. ,
DOI : 10.1137/S1064827594276424
Instabilities, Pattern Formation, and Turbulence in Flames, Annual Review of Fluid Mechanics, vol.15, issue.1, pp.179-199, 1983. ,
DOI : 10.1146/annurev.fl.15.010183.001143
The effect of thermal expansion on diffusion flame instabilities, Journal of Fluid Mechanics, vol.2, pp.453-472, 2010. ,
DOI : 10.1088/1364-7830/5/2/306
Intrinsic Flame Instabilities in Premixed and Nonpremixed Combustion, Annual Review of Fluid Mechanics, vol.39, issue.1, pp.163-191, 2007. ,
DOI : 10.1146/annurev.fluid.38.050304.092153
Flame dynamics, Proceedings of the Combustion Institute, vol.32, issue.1, pp.57-82, 2009. ,
DOI : 10.1016/j.proci.2008.08.002
Laminar flamelet concepts in turbulent combustion, Symposium (International) on Combustion, vol.21, issue.1, pp.1231-1250, 1986. ,
DOI : 10.1016/S0082-0784(88)80355-2
An analytical study of the stability of a laminar diffusion flame, Combustion and Flame, vol.10, issue.3, pp.205-220, 1966. ,
DOI : 10.1016/0010-2180(66)90077-0
Diffusional-thermal instability of diffusion flames, Journal of Fluid Mechanics, vol.15, pp.273-301, 1996. ,
DOI : 10.1016/0010-2180(86)90052-0
A general asymptotic theory of diffusion flames with application to cellular instability, Journal of Fluid Mechanics, vol.414, issue.0, pp.105-144 ,
DOI : 10.1017/S0022112000008752
Nonlinear oscillations in diffusion flames, Combustion and Flame, vol.145, issue.1-2, pp.1-2, 2006. ,
DOI : 10.1016/j.combustflame.2005.08.042
Diffusive-thermal instabilities of diffusion flames: onset of cells and oscillations, Combust. Theory Modell, pp.701-725, 2006. ,
Non-premixed jet flame pulsations near extinction, Proc. Combust. Inst, pp.831-838 ,
Cell formation in non-premixed, axisymmetric jet flames near extinction, Combustion Theory and Modelling, vol.6, issue.4, pp.635-644, 2003. ,
DOI : 10.1088/1364-7830/7/4/302
Scaling of cell size in cellular instabilities of nonpremixed jet flames, Combustion and Flame, vol.151, issue.1-2, pp.1-2, 2007. ,
DOI : 10.1016/j.combustflame.2007.05.004
Three-dimensional simulations of cellular non-premixed jet flames, Combustion and Flame, vol.157, issue.4, pp.653-666, 2010. ,
DOI : 10.1016/j.combustflame.2009.12.011
Extinction and near-extinction instability of non-premixed tubular flames, Combustion and Flame, vol.156, issue.1, pp.90-98, 2009. ,
DOI : 10.1016/j.combustflame.2008.09.004
Experimental study of cellular instability and extinction of non-premixed opposed-flow tubular flames, Combustion and Flame, vol.158, issue.11, pp.2165-2177, 2011. ,
DOI : 10.1016/j.combustflame.2011.04.007
An experimental realization of an unstrained, planar diffusion flame, Proceedings of the Combustion Institute, vol.30, issue.1, pp.501-509, 2005. ,
DOI : 10.1016/j.proci.2004.07.011
Thermal-diffusive instabilities in unstretched, planar diffusion flames, Combustion and Flame, vol.159, issue.3, pp.1228-1238, 2012. ,
DOI : 10.1016/j.combustflame.2011.10.020
On the stability of one-dimensional diffusion flames established between plane, parallel, porous walls, Combustion Theory and Modelling, vol.52, issue.2, pp.147-161, 2001. ,
DOI : 10.1090/qam/1306043
Spatial Localization in Dissipative Systems, Annual Review of Condensed Matter Physics, vol.6, issue.1, pp.325-359, 2015. ,
DOI : 10.1146/annurev-conmatphys-031214-014514
The asymptotic structure of counterflow diffusion flames for large activation energies, Acta Astronautica, vol.1, pp.7-8, 1974. ,
Laminar diffusion flamelet models in non-premixed turbulent combustion, Progress in Energy and Combustion Science, vol.10, issue.3, pp.319-339, 1984. ,
DOI : 10.1016/0360-1285(84)90114-X
Classification of Spatially Localized Oscillations in Periodically Forced Dissipative Systems, SIAM Journal on Applied Dynamical Systems, vol.7, issue.3, pp.651-711, 2008. ,
DOI : 10.1137/070698191
Defect-mediated snaking: A new growth mechanism for localized structures, Physica D: Nonlinear Phenomena, vol.239, issue.19, pp.1867-1883, 2010. ,
DOI : 10.1016/j.physd.2010.06.014
Dark solitons in the Lugiato-Lefever equation with normal dispersion, Physical Review A, vol.93, issue.6, p.63839, 2016. ,
DOI : 10.1364/OPTICA.1.000010
Homoclinic snaking near a heteroclinic cycle in reversible systems, Physica D: Nonlinear Phenomena, vol.206, issue.1-2, pp.1-2, 2005. ,
DOI : 10.1016/j.physd.2005.04.018
Homoclinic snaking: Structure and stability, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol.17, issue.3, p.37102, 2007. ,
DOI : 10.1103/PhysRevLett.94.148302
Convectons, anticonvectons and multiconvectons in binary fluid convection, Journal of Fluid Mechanics, vol.23, pp.586-606, 2011. ,
DOI : 10.1016/S0375-9601(99)00573-3
Localized states in the generalized Swift-Hohenberg equation, Physical Review E, vol.73, issue.5, p.56211, 2006. ,
DOI : 10.1103/PhysRevE.68.056605
Practical bifurcation and stability analysis: From equilibrium to chaos, 1991. ,
DOI : 10.1007/978-1-4419-1740-9
Abstract, Communications in Computational Physics, vol.81, issue.01, pp.15-16, 2014. ,
DOI : 10.1103/RevModPhys.72.603
Steady-state solving via stokes preconditioning; Recursion relations for elliptic operators, Proceedings of the 11th International Conference on Numerical Methods in Fluid Dynamics, pp.573-577, 1989. ,
DOI : 10.1007/3-540-51048-6_95
Asymmetry and Hopf bifurcation in spherical Couette flow, Physics of Fluids, vol.9, issue.1, pp.80-91, 1995. ,
DOI : 10.1007/BF01032401
Periodic and localized states in natural doubly diffusive convection, Physica D: Nonlinear Phenomena, vol.237, issue.8, pp.1139-1150, 2008. ,
DOI : 10.1016/j.physd.2007.11.024
Spatially localized magnetoconvection, Fluid Dynamics Research, vol.44, issue.3, p.31411, 2012. ,
DOI : 10.1088/0169-5983/44/3/031411
Convectons in a rotating fluid layer, Journal of Fluid Mechanics, vol.133, pp.417-448, 2013. ,
DOI : 10.1016/j.pss.2006.07.008
Convectons and secondary snaking in three-dimensional natural doubly diffusive convection, Physics of Fluids, vol.25, issue.2, p.24105, 2013. ,
DOI : 10.1016/j.fluiddyn.2004.06.002