Homoclinic bifurcations in radiating diffusion flames

DOI10.1080/13647830.2012.721899zbMath1311.80014OpenAlexW2025760446WikidataQ61803339 ScholiaQ61803339MaRDI QIDQ4922192

Francesco Saverio Marra, Michail E. Kavousanakis, Lucia Russo, Constantinos I. Siettos

Publication date: 29 May 2013

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

Full work available at URL: https://doi.org/10.1080/13647830.2012.721899

zbMATH Keywords

nonlinear oscillationshomoclinic bifurcationbifurcation analysisradiating diffusion flamestimestepping approach

Mathematics Subject Classification ID

Combustion (80A25)

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Cites Work

• Unnamed Item
• A timestepper approach for the systematic bifurcation and stability analysis of polymer extrusion dynamics
• Numerical methods for bifurcation problems and large-scale dynamical systems. Based on two workshops held as part of the 1997--1998 IMA academic year on emerging applications of dynamical systems
• Equation-free, coarse-grained multiscale computation: enabling microscopic simulators to perform system-level analysis
• On the stability of one-dimensional diffusion flames established between plane, parallel, porous walls
• The onset of oscillations in diffusion flames
• Diffusional-thermal instability in strained diffusion flames with unequal Lewis numbers
• Chaotic oscillation in diffusion flame induced by radiative heat loss
• The MATLAB ODE Suite
• Stabilization of Unstable Procedures: The Recursive Projection Method
• Period doubling cascade in diffusion flames
• The effect of thermal expansion on diffusion flame instabilities
• Algorithm 658
• Diffusional-thermal instability of diffusion flames
• An Adaptive Newton--Picard Algorithm with Subspace Iteration for Computing Periodic Solutions
• 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
• Nonlinear dynamic characteristics of flame stripes formed in strained diffusion flames by diffusional—thermal instability
• Numerical Continuation of Bifurcations of Limit Cycles in MATLAB
• Oscillations and island evolution in radiating diffusion flames

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