Complex dynamics generated by a sharp interface model of self-propagating high-temperature synthesis

DOI10.1088/1364-7830/2/4/008zbMath0934.80003OpenAlexW2066868913MaRDI QIDQ4266905

Victor Roytburd, Michael L. Frankel, Gregory I. Sivashinsky

Publication date: 22 September 1999

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

Full work available at URL: https://doi.org/10.1088/1364-7830/2/4/008

zbMATH Keywords

period doublingchaotic oscillationssupercritical Hopf bifurcationsolid combustionfree-interface problemperiod bifurcations

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Combustion (80A25) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20)

Related Items (6)

Weakly Nonlinear Dynamics of Interface Propagation ⋮ Frequency locking for combustion synthesis in a periodic medium ⋮ Rigorous derivation of the Kuramoto-Sivashinsky equation from a 2D weakly nonlinear Stefan problem ⋮ Dynamics of SHS in periodic media ⋮ A numerical study of one-step models of polymerization: frontal versus bulk mode ⋮ Interaction of Weakly Unstable Auto-Oscillatory Modes in a Solid Propellant Combustion Model

Cites Work

• Stefan problem with a kinetic condition at the free boundary
• A free boundary problem modeling thermal instabilities: Stability and bifurcation
• A Hopf bifurcation for a reaction-diffusion equation with concentrated chemical kinetics
• Chaotic dynamics in solid fuel combustion
• Phragmèn-lindelÖf type results for periodic solutions of parabolic equations on a half-line
• Two Routes to Chaos in Condensed Phase Combustion
• An Asymptotic Derivation of Two Models in Flame Theory Associated with the Constant Density Approximation
• On Spinning Propagation of Combustion Waves
• Propagation of a Pulsating Reaction Front in Solid Fuel Combustion
• A Sequence of Period Doublings and Chaotic Pulsations in a Free Boundary Problem Modeling Thermal Instabilities
• DYNAMICAL PORTRAIT OF A MODEL OF THERMAL INSTABILITY: CASCADES, CHAOS, REVERSED CASCADES AND INFINITE PERIOD BIFURCATIONS
• An Asymptotic Theory of Condensed Two-Phase Flame Propagation

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