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Nonlinear oscillations in one-zone stellar model
Jiang Shiyang1; Chen Fusheng2; Chen Yan3
1998
Source PublicationCommunications in Theoretical Physics
ISSN0253-6102
Volume30Issue:2Pages:281
AbstractIf one-zone models are available for some pulsating stars and the motion remains close to adiabaticity, the oscillation and stability criterion of the star have been analyzed by canonical perturbation theory and optimal control theory, separately under different function values b on the right-hand side of Eq. (10). We found that (i) If the introduction of a given perturbation function of time b(t) is substituted into the right-hand side of Eq. (10), and energy-optimal control of a nonlinear oscillator is satisfied, the oscillation in one-zone model is unstable. (ii) If b is subject to the constraint \b\ less than or equal to 1, and time-optimal control is satisfied, the oscillation in one-zone stellar model is stable. (iii) The periodic oscillation criterion is obtained by a simple method, if b is regarded as a constant of integration in Eq. (10). It shows that the adiabatic exponent Gamma(1) is all important. When Gamma(1) is greater than or equal to 4/3, the periodic oscillation should occur in one-zone stellar model; when Gamma(1) is less than 4/3, and under the additional condition of \B\ < B-c, the periodic oscillation could not occur in this model.
Language英语
Document Type期刊论文
Identifierhttp://ir.bao.ac.cn/handle/114a11/50693
Collection中国科学院国家天文台
Affiliation1.中国科学院国家天文台
2.南昌大学
3.福建师范大学
First Author AffilicationNational Astronomical Observatories, Chinese Academy of Sciences
Recommended Citation
GB/T 7714
Jiang Shiyang,Chen Fusheng,Chen Yan. Nonlinear oscillations in one-zone stellar model[J]. Communications in Theoretical Physics,1998,30(2):281.
APA Jiang Shiyang,Chen Fusheng,&Chen Yan.(1998).Nonlinear oscillations in one-zone stellar model.Communications in Theoretical Physics,30(2),281.
MLA Jiang Shiyang,et al."Nonlinear oscillations in one-zone stellar model".Communications in Theoretical Physics 30.2(1998):281.
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