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Combustion Science and Technology Volume 98, 1994 - Issue 1-3
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Original Articles

Chaotic Dynamics Near The Extinction Limit of a Premixed Flame on a Porous Plug Burner

M. GORMAN Department of Physics, University of Houston, Houston, TX, 77204-5506
,
M. EL-HAMDI Department of Physics, University of Houston, Houston, TX, 77204-5506
&
K. A. ROBBINS Division of Mathematics, Computer Science, and Statistics, University of Texas at San Antonio, San Antonio, TX, 78249
Pages 47-56 | Received 26 Mar 1993, Accepted 10 Jan 1994, Published online: 27 Apr 2007

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Vineeth Nair & R. I. Sujith. (2015) Intermittency as a Transition State in Combustor Dynamics: An Explanation for Flame Dynamics Near Lean Blowout. Combustion Science and Technology 187:11, pages 1821-1835.
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Milan Miklavčič. (2007) Period doubling cascade in diffusion flames. Combustion Theory and Modelling 11:1, pages 103-112.
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Articles from other publishers (31)

E. O. Yakupov, V. V. Gubernov & A. A. Polezhaev. (2022) Theoretical Study of the Formation of Inhomogeneous Structures at the Combustion Front Based on the Reduced Model. Bulletin of the Lebedev Physics Institute 49:10, pages 329-335.
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Vadim N. Kurdyumov & Vladimir V. Gubernov. (2020) Dynamics of combustion waves in narrow samples of solid energetic material: Impact of radiative heat losses on chaotic behavior and dynamical extinction phenomenon. Combustion and Flame 219, pages 349-358.
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Eduard O. Yakupov, Andrey A. Polezhaev, Vladimir V. Gubernov & Taisia P. Miroshnichenko. (2019) Investigation of the mechanism of emergence of autowave structures at the reaction front. Physical Review E 99:4.
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Vadim N. Kurdyumov & Vladimir V. Gubernov. (2018) Propagation of a reaction front in a narrow sample of energetic material with heat losses: Chaotic regimes, extinction and intermittency. Combustion and Flame 191, pages 19-31.
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S. Chiocchini, T. Pagliaroli, R. Camussi & E. Giacomazzi. (2018) Chaotic and Linear Statistics Analysis in Thermoacoustic Instability Detection. Journal of Propulsion and Power 34:1, pages 15-26.
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Sukesh Roy, James R. Gord, Jia-Chen Hua & Gemunu H. Gunaratne. (2017) Robust-mode analysis of hydrodynamic flows. International Journal of Modern Physics B 31:10, pages 1742007.
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Derek Michael Forrester. (2015) Arrays of coupled chemical oscillators. Scientific Reports 5:1.
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Sukesh Roy, Jia-Chen Hua, Will Barnhill, Gemunu H. Gunaratne & James R. Gord. (2015) Deconvolution of reacting-flow dynamics using proper orthogonal and dynamic mode decompositions. Physical Review E 91:1.
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Jia-Chen Hua, Gemunu H. Gunaratne, Stanislav Kostka, Naibo Jiang, Barry V. Kiel, James R. Gord & Sukesh Roy. (2013) Dynamical-systems analysis and unstable periodic orbits in reacting flows behind symmetric bluff bodies. Physical Review E 88:3.
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J. D. Kelley, G. H. Gunaratne, A. Palacios & J. Shulman. (2012) Modal decomposition and normal form for hydrodynamic flows: Examples from cellular flame patterns. The European Physical Journal Special Topics 204:1, pages 119-131.
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T. M. Muruganandam & J. M. Seitzman. (2012) Fluid Mechanics of Lean Blowout Precursors in Gas Turbine Combustors. International Journal of Spray and Combustion Dynamics 4:1, pages 29-60.
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Michael Gorman & Robert Brockman. (2009) Dynamic States of Heavy Hydrocarbon-Oxygen Premixed Flames on an Annular Burner. SIAM Journal on Applied Dynamical Systems 8:2, pages 676-688.
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HIROSHI GOTODA & YUKO SASO. (2011) UNSTEADY MOTION OF POOL FIRE ON SMALL-SCALE BURNER. International Journal of Bifurcation and Chaos 17:06, pages 2185-2193.
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Peter Blomgren, Scott Gasner & Antonio Palacios. (2005) Stable second-order scheme for integrating the Kuramoto-Sivanshinsky equation in polar coordinates using distributed approximating functionals. Physical Review E 72:3.
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Alexander A. Konnov & Igor V. Dyakov. (2005) Measurement of propagation speeds in adiabatic cellular premixed flames of CH4+O2+CO2. Experimental Thermal and Fluid Science 29:8, pages 901-907.
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Tamás Tél, Alessandro de Moura, Celso Grebogi & György Károlyi. (2005) Chemical and biological activity in open flows: A dynamical system approach. Physics Reports 413:2-3, pages 91-196.
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Hiroshi Gotoda & Toshihisa Ueda. (2005) Orbital instability and prediction of a Bunsen flame tip motion with burner rotation. Combustion and Flame 140:4, pages 287-298.
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T Muruganandam & Jerry Seitzman. (2005) Origin of Lean Blow Out Precursors in Swirled Gas Turbine Combustors. Origin of Lean Blow Out Precursors in Swirled Gas Turbine Combustors.
A.A Konnov & I.V Dyakov. (2004) Measurement of propagation speeds in adiabatic flat and cellular premixed flames of C2H6+O2+CO2. Combustion and Flame 136:3, pages 371-376.
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X.u Zhou, T.L. Jackson & J. Buckmaster. (2003) Oscillations in propellant flames with edges. Combustion and Flame 133:1-2, pages 157-168.
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Xu Zhou, Thomas Jackson & John Buckmaster. (2002) Oscillations in Propellant Flames with Edges. Oscillations in Propellant Flames with Edges.
J. Buckmaster. (2002) Edge-flames. Progress in Energy and Combustion Science 28:5, pages 435-475.
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K.A. Robbins & M. Gorman. (2000) Fast visualization methods for comparing dynamics: a case study in combustion. Fast visualization methods for comparing dynamics: a case study in combustion.
I. Müller, E. Ammelt & H.-G. Purwins. (1999) Self-Organized Quasiparticles: Breathing Filaments in a Gas Discharge System. Physical Review Letters 82:17, pages 3428-3431.
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Michael Gorman. 1999. Pattern Formation in Continuous and Coupled Systems. Pattern Formation in Continuous and Coupled Systems 101 110 .
Antonio Palacios, Gemunu H. Gunaratne, Michael Gorman & Kay A. Robbins. (1998) Karhunen-Loève analysis of spatiotemporal flame patterns. Physical Review E 57:5, pages 5958-5971.
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K.A. Robbins. (1998) Visualization of scientific video data using KL decomposition. IEEE Transactions on Visualization and Computer Graphics 4:4, pages 330-343.
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C. B. Muratov. (1997) Synchronization, chaos, and the breakdown of collective domain oscillations in reaction-diffusion systems. Physical Review E 55:2, pages 1463-1477.
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Alexander G. Merzhanov, William A. Sirignano & Luigi De Luca. 1997. Advances in Combustion Science: In Honor of Ya. B. Zel'dovich. Advances in Combustion Science: In Honor of Ya. B. Zel'dovich 157 177 .
G. Patnaik, K. Kailasanath & R.S. Sinkovits. (1996) A new time-dependent, three-dimensional flame model for laminar flames. Symposium (International) on Combustion 26:1, pages 899-905.
Crossref
Dezső Horváth & Kenneth Showalter. (1995) Instabilities in propagating reaction-diffusion fronts of the iodate-arsenous acid reaction. The Journal of Chemical Physics 102:6, pages 2471-2478.
Crossref

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