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2011MNRAS.414.1111K - Mon. Not. R. Astron. Soc., 414, 1111-1118 (2011/June-3)
Period-doubling bifurcation and high-order resonances in RR Lyrae hydrodynamical models.
KOLLATH Z., MOLNAR L. and SZABO R.
Abstract (from CDS):
Floquet stability roots were calculated to investigate the possible causes and occurrences of the phenomenon. A two-dimensional diagnostic diagram was constructed to illustrate the various resonances between the fundamental mode and the different overtones. Combining the two tools, we confirmed that the period-doubling instability is caused by a 9:2 resonance between the ninth overtone and the fundamental mode. Destabilization of the limit cycle by a resonance of a high-order mode is possible because the overtone is a strange mode. The resonance is found to be strong enough to shift the period of overtone by up to 10 per cent. Our investigations suggest that a more complex interplay of radial (and presumably non-radial) modes could happen in RR Lyrae stars that might have connections with the Blazhko effect as well.
Abstract Copyright: 2011 The Authors Monthly Notices of the Royal Astronomical Society2011 RAS
Journal keyword(s): hydrodynamics - stars: variables: RR Lyrae
Simbad objects: 6
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