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Spectral Scaling Analysis of RR Lyrae Stars in OGLE-IV Galactic Bulge Fields

  • Vivek KoharEmail author
  • John F. Lindner
  • Behnam Kia
  • William L. Ditto
Conference paper
Part of the Lecture Notes in Networks and Systems book series (LNNS, volume 6)

Abstract

Recent studies of variable stars have uncovered characteristic nonlinear features in flux of these stars and indicate the presence of quasiperiodicity. A common technique to study quasiperiodic systems is spectral scaling analysis which relies on the fact that different dynamical behaviors can be identified on the basis of distribution of peaks in the periodogram. Here we apply the spectral scaling technique to the OGLE-IV photometry of the RR Lyrae stars in the Galactic bulge. We find that spectra of the fundamental mode (RRab) and first overtone RR Lyrae stars (RRc) scales differently and thus the spectral scaling can be used to distinguish between different RR Lyrae sub classes. Furthermore, goodness of fit for RRc stars with multiple modes is better than other stars. The scaling exponent for stars observed in high cadence is close to the values reported using Kepler photometry. This analysis can help us to reclassify the stars based on their dynamical characteristics.

Keywords

Light Curf Variable Star Scaling Exponent High Cadence Spectral Scaling 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

We gratefully acknowledge support from the Office of Naval Research under STTR Grant No. N00014-14-C-0033 and support from NCSU under Grant No. 201584-70677.

References

  1. 1.
    J. Jurcsik, P. Smitola, G. Hajdu, J. Nuspl, Astrophys. J. Lett. 797(1), L3 (2014). http://stacks.iop.org/2041-8205/797/i=1/a=L3
  2. 2.
    J.R. Buchler, Z. Kollth, Astrophys. J. 731(1), 24 (2011). http://stacks.iop.org/0004-637X/731/i=1/a=24
  3. 3.
    E. Guggenberger, K. Kolenberg, J.M. Nemec, R. Smolec, J.M. Benko, C.C. Ngeow, J.G. Cohen, B. Sesar, R. Szabo, M. Catelan, P. Moskalik, K. Kinemuchi, S.E. Seader, J.C. Smith, P. Tenenbaum, H. Kjeldsen, Mon. Not. R. Astron. Soc. 424(1), 649 (2012). doi: 10.1111/j.1365-2966.2012.21244.x, http://mnras.oxfordjournals.org/content/424/1/649.abstract
  4. 4.
    P. Moskalik, R. Smolec, K. Kolenberg, L. Molnar, D.W. Kurtz, R. Szabo, J.M. Benko, J.M. Nemec, M. Chadid, E. Guggenberger, C.C. Ngeow, Y.B. Jeon, G. Kopacki, S.M. Kanbur, Mon. Not. R. Astron. Soc. 447(3), 2348 (2015). doi: 10.1093/mnras/stu2561, http://mnras.oxfordjournals.org/content/447/3/2348.abstract
  5. 5.
    R. Szabo, J.M. Benko, M. Paparo, E. Chapellier, E. Poretti, A. Baglin, W.W. Weiss, K. Kolenberg, E. Guggenberger, J.-F. Le Borgne, A&A 570, A100 (2014). doi: 10.1051/0004-6361/201424522
  6. 6.
    R. Smolec, I. Soszyski, A. Udalski, M.K. Szymaski, P. Pietrukowicz, J. Skowron, S. Kozwski, R. Poleski, P. Moskalik, D. Skowron, G. Pietrzyski, K. Wyrzykowski, P.Mr Ulaczyk, Mon. Not. R. Astron. Soc. 447(4), 3873 (2015). doi: 10.1093/mnras/stu2741, http://mnras.oxfordjournals.org/content/447/4/3873.abstract
  7. 7.
    H. Netzel, R. Smolec, P. Moskalik, Mon. Not. R. Astron. Soc. 447(2), 1173 (2015). doi: 10.1093/mnras/stu2409, http://mnras.oxfordjournals.org/content/447/2/1173.abstract
  8. 8.
    K. Kolenberg, R. Szabo, D.W. Kurtz, R.L. Gilliland, J. Christensen-Dalsgaard, H. Kjeldsen, T.M. Brown, J.M. Benko, M. Chadid, A. Derekas, M.D. Criscienzo, E. Guggenberger, K. Kinemuchi, A. Kunder, Z. Kollth, G. Kopacki, P. Moskalik, J.M. Nemec, J. Nuspl, R. Silvotti, M.D. Suran, W.J. Borucki, D. Koch, J.M. Jenkins, Astrophys. J. Lett. 713(2), L198 (2010). http://stacks.iop.org/2041-8205/713/i=2/a=L198
  9. 9.
    L. Molnar, R. Szabo, P.A. Moskalik, J.M. Nemec, E. Guggenberger, R. Smolec, R. Poleski, E. Plachy, K. Kolenberg, Z. Kollath, Mon. Not. R. Astron. Soc. 452(4), 4283 (2015). doi: 10.1093/mnras/stv1638, http://mnras.oxfordjournals.org/content/452/4/4283.abstract
  10. 10.
    E. Plachy, L. Molnár, R. Szabó, K. Kolenberg, E. Bányai, arXiv e-prints (2016)Google Scholar
  11. 11.
    P.H. Bryant, Astrophys. J. 802(1), 52 (2015). http://stacks.iop.org/0004-637X/802/i=1/a=52
  12. 12.
    P.H. Bryant, Astrophys. J. 818(1), 53 (2016). http://stacks.iop.org/0004-637X/818/i=1/a=53
  13. 13.
    A. Choudhary, V. Kohar, S. Sinha, Scientific reports 4, 4308 (2014). doi: 10.1038/srep04308
  14. 14.
    J. Brindley, T. Kapitaniak, M. El Naschie, Phys. D Nonlinear Phenom. 51(1–3), 28 (1991)CrossRefGoogle Scholar
  15. 15.
    J.F. Lindner, V. Kohar, B. Kia, M. Hippke, J.G. Learned, W.L. Ditto, Phys. Rev. Lett. 114, 054101 (2015). doi: 10.1103/PhysRevLett.114.054101
  16. 16.
    M. Marconi, G. Coppola, G. Bono, V. Braga, A. Pietrinferni, R. Buonanno, M. Castellani, I. Musella, V. Ripepi, R.F. Stellingwerf, Astrophys. J. 808(1), 50 (2015). http://stacks.iop.org/0004-637X/808/i=1/a=50
  17. 17.
    A. Gupta, A. Sohane, V. Kohar, K. Murali, S. Sinha, Phys. Rev. E 84(5), 055201 (2011)CrossRefGoogle Scholar
  18. 18.
    V. Kohar, S. Sinha, Phys. Lett. A 376(8), 957 (2012)CrossRefGoogle Scholar
  19. 19.
    A. Choudhary, V. Kohar, S. Sinha, Eur. Phys. J. B 87(9), 202 (2014). https://doi.org/10.1140/epjb/e2014-50382-y
  20. 20.
    V. Kohar, A. Choudhary, K.P. Singh, S. Sinha, Eur. Phys. J. Spec. Top. 222(3–4), 721 (2013)CrossRefGoogle Scholar
  21. 21.
    V. Kohar, B. Kia, J.F. Lindner, W.L. Ditto, Phys. Rev. E 93(3), 032213 (2016)CrossRefGoogle Scholar
  22. 22.
    N. Kains, D.M. Bramich, A. Arellano Ferro, R. Figuera Jaimes, A&A 582, A119 (2015). doi: 10.1051/0004-6361/201526819
  23. 23.
    L. Eyer, C. Blake, Mon. Not. R. Astron. Soc. 358(1), 30 (2005)CrossRefGoogle Scholar
  24. 24.
    J.W. Richards, D.L. Starr, N.R. Butler, J.S. Bloom, J.M. Brewer, A. Crellin-Quick, J. Higgins, R. Kennedy, M. Rischard, Astrophys. J. 733(1), 10 (2011)CrossRefGoogle Scholar
  25. 25.
    P. Dubath, L. Rimoldini, M. Süveges, J. Blomme, M. López, L. Sarro, J. De Ridder, J. Cuypers, L. Guy, I. Lecoeur et al., Mon. Not. R. Astron. Soc. 414(3), 2602 (2011)CrossRefGoogle Scholar
  26. 26.
    J.T. VanderPlas, Ž. Ivezic, Astrophys. J. 812(1), 18 (2015)CrossRefGoogle Scholar
  27. 27.
    M. Abbas, E.K. Grebel, N. Martin, N. Kaiser, W. Burgett, M. Huber, C. Waters, Astron. J. 148(1), 8 (2014)CrossRefGoogle Scholar
  28. 28.
    A. Udalski, M. Szymanski, G. Szymanski, Acta Astron. 65, 1 (2015)Google Scholar
  29. 29.
    I. Soszynski, A. Udalski, M. Szymanski, P. Pietrukowicz, P. Mróz, J. Skowron, S. Kozlowski, R. Poleski, D. Skowron, G. Pietrzynski et al., Acta Astron. 64, 177 (2014)Google Scholar
  30. 30.
    J.D. Scargle, Astrophys. J. 263, 835 (1982)CrossRefGoogle Scholar
  31. 31.
    G. Boffetta, V. Carbone, P. Giuliani, P. Veltri, A. Vulpiani, Phys. Rev. Lett. 83(22), 4662 (1999)CrossRefGoogle Scholar
  32. 32.
    P. Bak, K. Christensen, L. Danon, T. Scanlon, Phys. Rev. Lett. 88(17), 178501 (2002)CrossRefGoogle Scholar
  33. 33.
    J.F. Lindner, V. Kohar, B. Kia, M. Hippke, J.G. Learned, W.L. Ditto, Phys. D Nonlinear Phenom. 316, 16 (2016). doi: 10.1016/j.physd.2015.10.006, http://www.sciencedirect.com/science/article/pii/S0167278915300269
  34. 34.
    H. Maehara, T. Shibayama, Y. Notsu, S. Notsu, S. Honda, D. Nogami, K. Shibata (2016). arXiv preprint arXiv:1601.01132
  35. 35.
    A. Clauset, C.R. Shalizi, M.E. Newman, SIAM Rev. 51(4), 661 (2009)MathSciNetCrossRefGoogle Scholar
  36. 36.
    H. Netzel, R. Smolec, P. Moskalik, Mon. Not. R. Astron. Soc. 453(2), 2022 (2015). doi: 10.1093/mnras/stv1758, http://mnras.oxfordjournals.org/content/453/2/2022.abstract

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Vivek Kohar
    • 1
    Email author
  • John F. Lindner
    • 2
  • Behnam Kia
    • 1
  • William L. Ditto
    • 1
  1. 1.Department of PhysicsNorth Carolina State UniversityRaleighUSA
  2. 2.Physics DepartmentThe College of WoosterWoosterUSA

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