The criterion of chaotic pulsation in pulsating stars.

Details The criterion of chaotic pulsation in pulsating stars. The criterion of chaotic pulsation in pulsating stars.

Jun 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000cotph..33..661c&link_type=abstract

Commun. Theor. Phys., Vol. 33, No. 4, p. 661 - 664

Physics

Pulsating Stars: Chaos

Scientific paper

Up to now, the period-doubling bifurcation in a variable star is identified through the existence of subharmonics in the power spectrum of light curves. Therefore the question is arisen: How to find a general criterion of period-doubling bifurcation in pulsating stars from theoretical analysis. It is discussed in this paper. The authors found that for the stellar pulsating mapping the bifurcation from a fixed point to a two-cycle occurs at parameter λ1 = -0.63, i.e., adiabatic exponent Γ1 = 1.331.

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