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Dynamic Catastrophes in Stars

Published online by Cambridge University Press:  30 March 2016

J. Perdang
J. Perdang*
Affiliation:
Institut d’Astrophysique, Universitè de LiègeB-4200 Cointe-Ougrée, Belgium

Extract

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The invariance of the equations of linear stability of a physical system under a change of sign of the dependent variables implies that we cannot foresee, once an instability is detected, in which direction the system will evolve. In the context of radial dynamical stability this means that the linear analysis does not allow us to discriminate between a subsequent contraction or expansion. To fix up the arrow of the evolution beyond the onset of the instability, a nonlinear analysis is required.

Type
Joint Discussion
Information
Highlights of Astronomy , Volume 5: Highlights of Astronomy. As presented at the XVIIth General Assembly of the IAU, 1979 , 1980 , pp. 501 - 504
Copyright
Copyright © Cambridge University Press 1980

References

Aizenman, M.L., Smeyers, P., Weigert, A. 1977, A & A 58, 41 Google Scholar
Arnold, V. 1976, Les méthodes mathématiques de la mécanique classique (Mir, Moscow)Google Scholar
Barbaro, G., Bertelli, G., Perdang, J., Pigatto, L. 1979, submitted to A & AGoogle Scholar
Casti J., 1974, RM-74-28, IIASA, Schloss Laxenberg, AustriaGoogle Scholar
Christensen-Dalsgaard, J. 1979, MNRAS (in press)Google Scholar
Demaret, J., Dzuba, V., Perdang, J. 1978, A & A 70, 287 Google Scholar
Frisch, U. 1978, Lecture Notes in Physics 71, 325. (Springer)Google Scholar
Mandelbrot, B.B. 1977, Fractals, Form, Chance and Dimension (Freeman, New York)Google Scholar
Ostriker, J. 1964, Ap. J. 140, 1529 Google Scholar
Perdang, J. 1969, unpublished Ph. D. thesis, U. LiegeGoogle Scholar
Poston, T., Stewart, I. 1978, Catastrophe Theory and its Applications (Pitman, London)Google Scholar
Ruelle, D., Takens, F. 1971, Comm. Math. Phys. 20, 167 Google Scholar
Thom, R. 1972, Stabilité structurelle et morphogénèse (Benjamin, New York)Google Scholar
von Neumann, J., Wigner, E. 1929, Phys. Zsch. 30, 467 Google Scholar
Zeeman, E.C. 1977, Catastrophe Theory: Selected Papers 1972-1977 (Addison-Wesley, Reading, Mass.).Google Scholar