Strange nonchaotic stars

Abstract

The unprecedented light curves of the Kepler space telescope document how the brightness of some stars pulsates at primary and secondary frequencies whose ratios are near the golden mean, the most irrational number. A nonlinear dynamical system driven by an irrational ratio of frequencies generically exhibits a strange but nonchaotic attractor. For Kepler's "golden" stars, we present evidence of the first observation of strange nonchaotic dynamics in nature outside the laboratory. This discovery could aid the classification and detailed modeling of variable stars.

arXiv comment5 pages, 4 figures, published in Physical Review Letters

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• Inferring Global Dynamics of a Black-Box System Using Machine Learning
• Early Warning Signals Indicate a Critical Transition in Betelgeuse
• Revisiting Evidence of Chaos in X-ray Light Curves: The Case of GRS 1915+105
• Effect of data gaps on correlation dimension computed from light curves of variable stars
• Fractal analysis applied to light curves of $\delta$ Scuti stars
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• Route to logical strange nonchaotic attractors with single periodic force and noise
• Simple nonlinear models suggest variable star universality
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• Manifestation of strange nonchaotic attractors in extended systems: A study through out-of-time-ordered correlators
• Digit replacement: A generic map for nonlinear dynamical systems
• A simple method for detecting chaos in nature
• Fractal Measures and Nonlinear Dynamics of Overcontact Binaries
• The spectral Petersen diagram as a new tool to map pulsation modes in variable stars