Mathematics
Scientific paper
Aug 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994ap%26ss.218..267d&link_type=abstract
Astrophysics and Space Science, vol. 218, no. 2, p. 267-276
Mathematics
1
Branching (Mathematics), Gas Pressure, Helium, Nuclear Reactions, Oscillations, Proton-Proton Reactions, Stellar Interiors, Stellar Models, Particle Density (Concentration), Stellar Convection, Stellar Gravitation, Stellar Temperature
Scientific paper
Oscillations related to the particle number density in the nuclear reaction systems inside stars are investigated, which include the oscillations in the helium nuclear reaction and in the P-PI branch of proton-proton reaction under the (g-T) effect and the gas pressure effect. The investigation shows that there is a supercritical oscillating bifurcation with time in the helium nuclear reaction system. If the oscillations are excited by the pressure effect, the nuclear reaction must occur in the convecting zone with a radially reducing convective velocity; if the oscillations are excited by the (g-T) effect, the nuclear reaction may occur in the convecting zone or no-convection zone. The supercritical oscillating bifurcation with time also exists in the P-PI reaction system, which is excited only by the (g-T) effect, while the oscillation excited by the pressure effect is decaying.
Chen Fusheng
Du Jiulin
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