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.
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| http://dx.doi.org/10.1103/PhysRevLett.114.054101 | DOI Listing |
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Strange nonchaotic attractor in an unforced turbulent reactive flow system.
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Department of Aerospace Engineering, Indian Institute of Technology Madras, Chennai 600 036, India.
We discover strange nonchaotic attractor (SNA) through experiments in an unforced system comprising turbulent reactive flow. While models suggest SNAs are common in dynamical systems, experimental observations are primarily limited to systems with external forcing. We observe SNA prior to the emergence of periodic oscillations from chaotic fluctuations.
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Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province, School of Mechanics and Aerospace Engineering, Southwest Jiaotong University, Chengdu 610031, China.
Considering a piecewise linear oscillator with quasiperiodic excitation, we uncover the route of double grazing bifurcation of quasiperiodic torus to strange nonchaotic attractors (i.e., SNAs).
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Phys Rev E
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Department of Physical Sciences, Indian Institute of Science Education and Research Kolkata, Nadia 741246, West Bengal, India.
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Eur Phys J Plus
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Department of Physics, Centre for Nonlinear Science and Engineering, School of Electrical and Electronics Engineering, SASTRA Deemed University, Thanjavur, 613 401 India.
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Theor Popul Biol
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Graduate School of Science, Osaka Metropolitan University, Japan.
Article Synopsis
- The colonization model highlights that various species can coexist through competition for habitable sites, based on how propagules encounter those sites.
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