Secondary infinite-period bifurcation of spinning combustion waves near a hydrodynamic cellular stability boundary

Stephen B. Margolis; Gregory I. Sivashinsky; John K. Bechtold

doi:10.1016/0167-2789(90)90132-9

Secondary infinite-period bifurcation of spinning combustion waves near a hydrodynamic cellular stability boundary

Stephen B. Margolis, Gregory I. Sivashinsky, John K. Bechtold

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	181-198
Number of pages	18
Journal	Physica D: Nonlinear Phenomena
Volume	43
Issue number	2-3
DOIs	https://doi.org/10.1016/0167-2789(90)90132-9
State	Published - Jul 1990
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

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10.1016/0167-2789(90)90132-9

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title = "Secondary infinite-period bifurcation of spinning combustion waves near a hydrodynamic cellular stability boundary",

abstract = "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.",

author = "Margolis, {Stephen B.} and Sivashinsky, {Gregory I.} and Bechtold, {John K.}",

note = "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.",

year = "1990",

month = jul,

doi = "10.1016/0167-2789(90)90132-9",

language = "English (US)",

volume = "43",

pages = "181--198",

journal = "Physica D: Nonlinear Phenomena",

issn = "0167-2789",

publisher = "Elsevier B.V.",

number = "2-3",

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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

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VL - 43

SP - 181

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JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

IS - 2-3

ER -

Secondary infinite-period bifurcation of spinning combustion waves near a hydrodynamic cellular stability boundary

Abstract

All Science Journal Classification (ASJC) codes

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