Analysis

Dynamical Systems

37Xxx

  1. David H. Bailey, Jonathan M. Borwein, Vishaal Kapoor, and Eric W. Weisstein, Ten problems in experimental mathematics, Amer. Math. Monthly 113 (2006), no. 6, 481–509.[MR]
  2. Tatiana Bandman, Fritz Grunewald, Boris Kunyavskii, and Nathan Jones, Geometry and arithmetic of verbal dynamical systems on simple groups, Groups, Geometry, and Dynamics 4 (2010), no. 4, 607–655.[arXiv]
  3. Wieb Bosma, Karma Dajani, and Cor Kraaikamp, Entropy quotients and correct digits in number-theoretic expansions, Dynamics and Stochastics, IMS Lecture Notes Monogr. Ser., vol. 48, Inst. Math. Statist., Beachwood, OH, 2006, pp. 176–188.[MR]
  4. Roberto Conti, Jason Kimberley, and Wojciech Szymanski, More localized automorphisms of the Cuntz algebras, preprint (2008), 17 pages.[arXiv]
  5. Ana Paula S. Dias, Benoit Dionne, and Ian Stewart, Heteroclinic cycles and wreath product symmetries, Dyn. Stab. Syst. 15 (2000), no. 4, 353–385.[MR]
  6. Ana Paula S. Dias, Benoit Dionne, and Ian Stewart, Heteroclinic cycles and wreath product symmetries, Symmetry and perturbation theory (Cala Gonone, 2001), World Sci. Publ., River Edge, NJ, 2001, pp. 53–57.[MR]
  7. Freddy Dumortier, Jaume Llibre, and Joan C. Artés, Qualitative Theory of Planar Differential Systems, Universitext, Springer-Verlag, Berlin, 2006, pp. xvi+298.[MR]
  8. Soren Eilers and Ian Kiming, On some new invariants for strong shift equivalence for shifts of finite type, preprint (2008), 8 pages.[arXiv]
  9. Xander Faber, Benjamin Hutz, Patrick Ingram, Rafe Jones, Michelle Manes, Thomas J. Tucker, and Michael E. Zieve, Uniform bounds on pre-images under quadratic dynamical systems, Math. Res. Lett. 16 (2009), no. 1, 87–101.[MR/arXiv]
  10. Karin Gatermann, Computer algebra methods for equivariant dynamical systems, Lecture Notes in Mathematics, vol. 1728, Springer-Verlag, Berlin, 2000, pp. xvi+153.[MR]
  11. Evelyn L. Hart and Edward C. Keppelmann, Nielsen periodic point theory for periodic maps on orientable surfaces, Topology Appl. 153 (2006), no. 9, 1399–1420.[MR]
  12. Stephen Humphries and Anthony Manning, Curves of fixed points of trace maps, Ergodic Theory Dynam. Systems 27 (2007), no. 4, 1167–1198.[MR]
  13. Patrick Ingram, Cubic polynomials with periodic cycles of a specified multiplier, preprint (2009), 26 pages.[arXiv]
  14. Ole Lund Jensen, Symbolic dynamic systems and their invariants, Master's Thesis, University of Copenhagen, 2002.
  15. Jason S. Kimberley and Guyan Robertson, Groups acting on products of trees, tiling systems and analytic K-theory, New York J. Math. 8 (2002), 111–131 (electronic).[MR]
  16. I. S. Kotsireas and K. Karamanos, Exact computation of the bifurcation point B4 of the logistic map and the Bailey-Broadhurst conjectures, Internat. J. Bifur. Chaos Appl. Sci. Engrg. 14 (2004), no. 7, 2417–2423.[MR]
  17. Jeffrey C. Lagarias and Eric Rains, Dynamics of a family of piecewise-linear area-preserving plane maps. II. Invariant circles, J. Difference Equ. Appl. 11 (2005), no. 13, 1137–1163.[MR/link]
  18. Alina Ostafe and Igor E. Shparlinski, Pseudorandomness and dynamics of Fermat quotients, preprint (2010).[arXiv]
  19. David Pask, Iain Raeburn, and Natasha A. Weaver, A family of 2-graphs arising from two-dimensional subshifts, Ergodic Theory Dynam. Systems 29 (2009), no. 5, 1613–1639.[MR/doi]