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A Model Oscillator of Irregular Stellar Variability

Published online by Cambridge University Press:  12 April 2016

Mine Takeuti
Affiliation:
Astronömical Institute, Tohoku University, Sendai 980, Japan
Yasuo Tanaka
Affiliation:
Faculty of Education, Ibaraki University, Mito 310, Japan

Extract

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Stellar pulsation is one of the condidates for strong mass loss from red giant stars. Recent investigations have shown sporadic outbursts of the pulsation can eject a considerable mass from the stars. Such a sporadic increase of the amplitudes seems to have a connection with the irregularity found in the pulsations. Recently the iregular propreties in stellar pulsation are investigated in the relation to nonlinear dynamics (see for instance Perdang, 1985). Unfortunately no single model oscillator of a star of which the equilibrium state is dynamically stable had been found. In the present paper, we shall discuss a simple oscillator which shows period-doubling and chaotic, that is, irregular oscillations.

Type
Part II. Mass-Losing Stars in Different Stages of Evolution
Copyright
Copyright © Springer-Verlag 1988

References

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Rossler, O.E., 1976, Phys. Letter 57A, 397.Google Scholar
Tanaka, Y. and Takeuti, M., 1987, in preparation.Google Scholar