DETECTING BOGDANOV–TAKENS BIFURCATION OF TRAVELING WAVES IN REACTION–DIFFUSION SYSTEMS

DOI10.1142/S0218127406015131zbMath1141.37358MaRDI QIDQ3510199

G. N. Mercer, Vladimir V. Gubernov, Harvinder S. Sidhu

Publication date: 2 July 2008

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Combustion (80A25) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

Cites Work

• Elements of applied bifurcation theory.
• The effect of heat loss on the propagation of strongly exothermic combustion waves
• An oscillatory route to extinction for solid fuel combustion waves due to heat losses
• Interaction of Pulsating and Spinning Waves in Nonadiabatic Flame Propagation

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