Position Associate Professor,
Head of the Department of Real Analysis and Dynamical Systems
Address Mathematical Institute
Silesian University in Opava
Na Rybnicku 1
746 01 Opava, Czech Republic
Phone +420 553 684 670
Fax +420 553 684 680
E-mail
WWW Teaching

Curriculum

- Undergraduate study at the Silesian University in Opava, Institute of Mathematics and Computer Science (1992–1997).
- Master thesis: "On a conjecture of Agronsky and Ceder concerning orbit-enclosing omega limit sets".
- Graduate study at the Mathematical Institute of the Silesian University, Opava (1997–2000).
- Ph.D. thesis: "Chaos in discrete dynamical systems" (2000).
- Award from the Minister of education for excellent students (2000).
- Habilitation thesis: Chaotic maps on compact metric spaces (2003).
- Award from the Rector of the Silesian University for "important scientific results in dynamical systems, real functions, functional equations, and complex analysis" (2007).
- Prize of The Learned Society of the Czech Republic for young scientists "for internationally recognized contribution to the theory of dynamical systems" (2008).
- Stipendium L'Oréal for Women in Science (project of the Czech Commission for UNESCO and Academy of Sciences of the Czech Republic, 2009).

Research

Discrete dynamical systems, chaos on the compact metric spaces, distributional chaos. Theory of functions. Functional equations.

Publications

  1. M. Babilonova, On a conjecture of Agronsky and Ceder concerning orbit-enclosing omega limit sets, Real Analysis Exchange 23 (1997/98) 773–777.
    MR 99i:26004, Zbl 939.37013.
  2. M. Babilonova, Distributional chaos for triangular maps, Annales Mathematicae Silesianae 13 (1999) 33–38.
    MR 2000k:37018, Zbl pre 991.30894.
  3. M. Babilonova, The bitransitive continuous maps of the interval are conjugate to maps extremely chaotic a.e., Acta Math. Univ. Comen. 69 (2000) (2) 229–232.
    MR 2002f:37062, Zbl 0978.37027.
  4. M. Babilonova, Massive chaos, Real Analysis Exchange 25 (1999/2000) (1) 43–44.
  5. M. Babilonova, On stationary and determining sets for J-convex functions. Real Analysis Exchange (2000), Summer Symposium 2000 Suppl., 29–34.
  6. M. Babilonova-Stefankova, Solution of a problem of S. Marcus concerning J-convex functions, Aequationes Mathematicae 63 (2002) 136–139.
    MR 2002m:26008, Zbl 1013.26009
  7. M. Babilonova-Stefankova, Extreme chaos and transitivity, Internat. J. Bifur. Chaos Appl. Sci. Engrg. 13 (2003), 1695–1700.
  8. J. Smital and M. Stefankova, Strongly omega-chaotic mappings of the interval, Real Analysis Exchange 27 (1) 2001/2002, 25th Summer Symposium Conference Report, 43–46.
    (Abstract of the talk at Summer Symposium on Real Analysis, Ogden Utah, 2001).
  9. J. Smital and M. Stefankova, Omega-chaos almost everywhere, Discrete and Continuous Dynamical Systems 9 (2003), 1323–1327.
  10. J. Smital and M. Stefankova, Distributional chaos for triangular maps, Chaos, Solitons and Fractals 21 (2004), 1125–1128.
  11. L. Reich, J. Smital and M. Stefankova, The continuous solutions of a generalized Dhombres functional equation, Math. Boh. 129 (2004), 399–410.
  12. F. Balibrea, J. Smital and M. Stefankova, The three versions of distributional chaos, Chaos, Solitons and Fractals 23 (2005), 1581 - 1583.
  13. A. Rysavy and M. Stefankova (Eds.), Report of Meeting, The Forty-second International Symposium on Functional Equations, June 20–27, 2004, Opava, Czech Republic, Aequationes Mathematicae 69 (2005), 164 - 200.
  14. L. Reich, J. Smital and M. Stefankova, The converse problem for a generalized Dhombres functional equation, Math. Bohemica 130 (2005), 301 - 308.
  15. M. Stefankova, On topological entropy of transitive triangular maps, Topology Appl. 153 (2006), 2673 - 2679.
  16. L. Reich, J. Smital and M. Stefankova, Local analytic solutions of the generalized Dhombres functional equation I, Sitzungsberichte Oesterreich. Akad. Wiss. Abt. II, 214 (2006), 3 - 25.
  17. L. Reich, J. Smítal and M. ©tefánková, The holomorphic solutions of the generalized Dhombres functional equation, J. Math. Anal. Appl. 333 (2007), 880 - 888. ISSN 0022-247X
  18. P. Oprocha and M. ©tefánková, Specification property and distributional chaos almost everywhere, Proc. Amer. Math. Soc. 136 (2008), 3931 - 3940.
  19. L. Reich, J. Smítal and M. ©tefánková, Locally analytic solutions of the generalized Dhombres functional equation II, J. Math. Anal. Appl. 355 (2009), 821 - 829.
  20. F. Balibrea, J. Smítal and M. ©tefánková, A triangular map of type 2 to infinity with positive topological entropy on a minimal set, Nonlin Anal A - Theor Meth Appl 74 (2011), 1690 - 1693.
  21. L. Reich, J. Smítal and M. ©tefánková, Functional equation of Dhombres type in the real case, Publ Math Debrecen 78 (2011), 659 - 673.
  22. F. Balibrea, J. Smítal and M. ©tefánková, On open problems concerning distributional chaos for triangular maps, Nonlin. Anal. A: Theory, Methods Appl. 74 (2011), 7342 - 7346.