Does Kepler unveil the mystery of the Blazhko effect? First detection of period doubling in Kepler Blazhko RR Lyrae stars
R. Szab\'o, Z. Koll\'ath, L. Moln\'ar, K. Kolenberg, D. W. Kurtz, S., T. Bryson, J. M. Benko, J. Christensen-Dalsgaard, H. Kjeldsen, W. J. Borucki,, D. Koch, J. D. Twicken, M. Chadid, M. Di Criscienzo, Y-B. Jeon, P. Moskalik,, J. M. Nemec, J. Nuspl

TL;DR
This paper reports the first detection of period doubling in Kepler RR Lyrae stars with Blazhko modulation, linking it to a resonance that may shed light on the long-standing Blazhko effect mystery.
Contribution
It provides the first observational evidence of period doubling in Blazhko RR Lyrae stars and models its origin through a specific resonance, offering new insights into the Blazhko effect.
Findings
Period doubling observed in Kepler RR Lyrae stars with Blazhko modulation.
Period doubling linked to a 9:2 resonance between fundamental mode and a high-order overtone.
Resonance may be key to understanding the Blazhko effect.
Abstract
The first detection of the period doubling phenomenon is reported in the Kepler RR Lyrae stars RR Lyr, V808 Cyg and V355 Lyr. Interestingly, all these pulsating stars show Blazhko modulation. The period doubling manifests itself as alternating maxima and minima of the pulsational cycles in the light curve, as well as through the appearance of half-integer frequencies located halfway between the main pulsation period and its harmonics in the frequency spectrum. The effect was found to be stronger during certain phases of the modulation cycle. We were able to reproduce the period doubling bifurcation in our nonlinear RR Lyrae models computed by the Florida-Budapest hydrocode. This enabled us to trace the origin of this instability in RR Lyrae stars to a resonance, namely a 9:2 resonance between the fundamental mode and a high-order (9th) radial overtone showing strange-mode…
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