Publications sorted by topics

Publications (chronological)


Published
  1. "Quasiperiodically forced interval maps with negative Schwarzian derivative".
    Taken from the master's thesis. Nonlinearity 16(4):1239-1255 (2003). pdf
  2. "On the dynamics of the critical Harper map".
    With S. Datta, G. Keller and R. Ramaswamy. Nonlinearity 17(6):2315-2323 (2004). pdf
  3. "A Sharkovskii-type theorem for minimally forced interval maps".
    With R. Fabbri, R. Johnson and G. Keller. Topol. Methods Nonlinear Anal. 26:163-188 (2005). pdf
  4. "The Denjoy type-of argument for quasiperiodically forced circle diffeomorphisms".
    With G. Keller. Ergodic Theory Dyn. Syst. 26(2):447-465 (2006). pdf
  5. "Towards a classification for quasiperiodically forced circle homeomorphisms".
    With J. Stark. J. Lond. Math. Soc., 73(3):727-744 (2006). pdf
  6. "How chaotic are strange nonchaotic attractors".
    With P. Glendinning and G. Keller. Nonlinearity 19(9):2005-2022 (2006). pdf
  7. "On the topological structure of strange nonchaotic attractors in pinched skew products".
    Ergodic Theory Dyn. Sys. 27(2):493-510, (2007). pdf
  8. "Rotation numbers for quasiperiodically forced circle maps - mode-locking vs strict monotonicity".
    With K. Bjerklöv. J. Am. Math. Soc. 22:353-362 (2009). pdf
  9. "Strangely dispersed minimal sets in the quasiperiodically forced Arnold circle map".
    With P. Glendinning and J. Stark. Nonlinearity 22(4):835-854 (2009). pdf
  10. "Linearisation of conservative toral homeomorphisms".
    Invent. Math. 176(3):601-616 (2009). pdf
  11. "Strange non-chaotic attractors in quasiperiodically forced circle maps".
    Comm. Math. Phys. 289(1):253--289 (2009). pdf
  12. "The creation of strange non-chaotic attractors in non-smooth saddle-node bifurcations".
    Mem. Am. Math. Soc. 945:1-106 (2009). pdf
  13. "Denjoy constructions for fibred homeomorphisms of the two-torus".
    With F. Béguin, S. Crovisier and F. Le Roux. Trans. Am. Math. Soc. 361(11):5851-5883 (2009). pdf
  14. "The concept of bounded mean motion for toral homeomorphisms".
    Dyn. Syst. 24(3):277-297 (2009). pdf
  15. "Periodic point free homeomorphisms of the open annulus - from skew-products to non-fibred maps".
    Proc. Am. Math. Soc. 138:1751-1764 (2010). pdf
  16. "Neuronal coding of pacemaker neurons - A random dynamical systems approach".
    Comm. Pure Appl. Analysis 10(3):995-1009 (2011). pdf
  17. "Non-autonomous saddle-node bifurcations in the quasiperiodically forced logistic map".
    With T.Y. Nguyen, T.S. Doan and S. Siegmund. Inter. J. Bifur. Chaos. 21(5):1427-1438 (2011). pdf
  18. "Elliptic stars in a chaotic night".
    J. Lond. Math. Soc. 84(3):595-611 (2011). pdf
  19. "Almost periodic structures and the semiconjugacy problem."
    With J. Aliste-Prieto. J. Diff. Eq. 252(9):4988-5001 (2012). pdf
  20. "Non-autonomous saddle-node bifurcations: Random and deterministic forcing."
    With V. Anagnostopoulou. J. Diff. 253(2):379-399 (2012). pdf
  21. "Dimensions of attractors in pinched skew products."
    With M. Gröger. Comm. Math. Phys. 320(1):101-119 (2013). pdf

Accepted
  1. "Strange non-chaotic attractors in quasiperiodically forced circle maps: Diophantine forcing".
    18 pages, to appear in Ergodic Theory Dyn. Syst. pdf
  2. "A classification of minimal sets of torus homeomorphisms."
    With F. Kwakkel and A. Passeggi. 17 pages, to appear in Math. Z. pdf

Preprints
  1. "Random minimality and continuity of invariant graphs for random dynamical systems."
    With G. Keller. 16 pages, Preprint 2013. pdf
  2. "A model for the nonautonomous Hopf bifurcation."
    With V. Anagnostopoulou and G. Keller. 26 pages, Preprint 2012. pdf
  3. "A construction of almost automorphic minimal sets."
    With R. Hric. 15 pages, Preprint 2013. pdf
  4. "On torus homeomorphisms semiconjugate to irrational rotations."
    5. With A. Passeggi. 20 pages, Preprint 2013. pdf

Others