TY - JOUR
T1 - Secondary infinite-period bifurcation of spinning combustion waves near a hydrodynamic cellular stability boundary
AU - Margolis, Stephen B.
AU - Sivashinsky, Gregory I.
AU - Bechtold, John K.
N1 - Funding Information:
This work was supported by the US Department of Energy through the Applied Mathematics Program of the Office of Energy Research, and by Grant No. DE-FG02-88ER13822. Permanent address: Department of Mathematical Sciences, Tel-Aviv University, Ramat-Aviv, Israel.
PY - 1990/7
Y1 - 1990/7
N2 - Strong spatial resonance near a cellular stability boundary is capable of generating families of orbitally stable spinning or travelling waves via an infinite-period secondary bifurcation from a steady bimodal solution branch. We illustrate this phenomenon for two problems in combustion theory corresponding to downward-propagating flames and the burning of liquid propellants in vertical channels.
AB - Strong spatial resonance near a cellular stability boundary is capable of generating families of orbitally stable spinning or travelling waves via an infinite-period secondary bifurcation from a steady bimodal solution branch. We illustrate this phenomenon for two problems in combustion theory corresponding to downward-propagating flames and the burning of liquid propellants in vertical channels.
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U2 - 10.1016/0167-2789(90)90132-9
DO - 10.1016/0167-2789(90)90132-9
M3 - Article
AN - SCOPUS:3843142033
SN - 0167-2789
VL - 43
SP - 181
EP - 198
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
IS - 2-3
ER -