Period doubling and chaotic transient in a model of chain-branching combustion wave propagation

DOI10.1098/RSPA.2009.0668zbMath1211.80041OpenAlexW2114935041MaRDI QIDQ2997291

G. N. Mercer, Andrei V. Kolobov, Andrei Polezhaev, Vladimir V. Gubernov, Harvinder S. Sidhu

Publication date: 6 May 2011

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: http://rspa.royalsocietypublishing.org/content/vol466/issue2121/

zbMATH Keywords

period-doublingpulsating wavescombustion waveschain-branching

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Combustion (80A25) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (6)

One-dimensional modelling of flame propagation in solid composite fuel with different geometrical configurations ⋮ The effect of depletion of radicals on freely propagating hydrocarbon flames ⋮ On the route to extinction in non-adiabatic flames from competitive exothermic reactions ⋮ Watershed initial conditions for propagating waves in a system with bistability: a weight-function approach ⋮ Effects of reaction reversibility on ignition and flame propagation ⋮ Stability of combustion waves propagating in two thermally coupled thin solid fuel layers

Cites Work

• Evans function stability of non-adiabatic combustion waves
• An oscillatory route to extinction for solid fuel combustion waves due to heat losses

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