Period doubling cascade in diffusion flames

DOI10.1080/13647830600812749zbMath1105.80016OpenAlexW2028115029MaRDI QIDQ3424279

Milan Miklavčič

Publication date: 15 February 2007

Published in: Combustion Theory and Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/13647830600812749

zbMATH Keywords

chaosHopf bifurcationperiod doublingdiffusion flamesstable limit cyclestable oscillations

Mathematics Subject Classification ID

Combustion (80A25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (3)

Bifurcation analysis of steady states and limit cycles in a thermal pulse combustor model ⋮ Chaotic oscillation in diffusion flame induced by radiative heat loss ⋮ Homoclinic bifurcations in radiating diffusion flames

Cites Work

• The universal metric properties of nonlinear transformations
• Simulations of pulsating one-dimensional detonations with true fifth order accuracy
• On the stability of one-dimensional diffusion flames established between plane, parallel, porous walls
• Diffusional-thermal instability in strained diffusion flames with unequal Lewis numbers
• Flame Propagation in Channels: Secondary Bifurcation to Quasi-Periodic Pulsations
• A Sequence of Period Doublings and Chaotic Pulsations in a Free Boundary Problem Modeling Thermal Instabilities
• Diffusional-thermal instability of diffusion flames
• Linear analysis of diffusional-thermal instability in diffusion flames with Lewis numbers close to unity
• A general asymptotic theory of diffusion flames with application to cellular instability
• Oscillations and island evolution in radiating diffusion flames

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