Astronomy and Astrophysics – Astrophysics
Scientific paper
Nov 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977ap%26ss..52..137d&link_type=abstract
Astrophysics and Space Science, vol. 52, no. 1, Nov. 1977, p. 137-167. Research supported by the Fonds National de la Recherche
Astronomy and Astrophysics
Astrophysics
Dynamic Stability, Stable Oscillations, Stellar Models, Liapunov Functions, Perturbation Theory, Thermodynamics, Vibration Mode
Scientific paper
A general formulation of kinematic stability coefficients is established. It is shown that the signature of these coefficients cannot be satisfactorily correlated with the vibrational stability of stars in thermal imbalance. The intuitive concept of vibrational stability is analyzed and identified with Liapunov's asymptotic stability. A thermodynamic technique for constructing Liapunov functions is introduced. The relevance and feasibility of the method are illustrated by applying the procedure to supermassive stars in contraction along a Hayashi track. It is shown analytically that these stars are vibrationally unstable.
Demaret Jacques
Perdang J.
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