New modes of quasi-periodic combustion near a degenerate hopf bifurcation point

Journal Article · Mon Aug 01 00:00:00 EDT 1988 · SIAM J. Appl. Math.; (United States)

DOI:https://doi.org/10.1137/0148047· OSTI ID:6809773

Margolis, S B; Matkowsky, B J

Steady, planar propagation of a condensed phase reaction front is unstable to disturbances corresponding to pulsating and spinning waves for sufficiently large values of a parameter related to the activation energy. This paper considers the nonlinear evolution equations for the amplitudes of the pulsating and spinning waves in a neighborhood of a double eigenvalue of the problem linearized about the steady, planar solution. In particular, near a degenerate Hopf bifurcation point, closed branches of solutions which represent new quasi-periodic modes of combustion are described.

• Research Organization: Combustion Research Facility, Sandia National Labs., Livermore, CA (US)
• OSTI ID: 6809773
• Journal Information: SIAM J. Appl. Math.; (United States), Journal Name: SIAM J. Appl. Math.; (United States) Vol. 48:4; ISSN SMJMA
• Country of Publication: United States
• Language: English

Related Subjects

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY
400101* -- Activation
Nuclear Reaction
Radiometric & Radiochemical Procedures
400800 -- Combustion
Pyrolysis
& High-Temperature Chemistry
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700103 -- Fusion Energy-- Plasma Research-- Kinetics
99 GENERAL AND MISCELLANEOUS
990230 -- Mathematics & Mathematical Models-- (1987-1989)
ACTIVATION ENERGY
CALCULATION METHODS
CHEMICAL REACTIONS
COMBUSTION
EIGENVALUES
ENERGY
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
OXIDATION
PLASMA WAVES
THERMOCHEMICAL PROCESSES