' Denis Gaidashev's Homepage

Denis G Gaidashev

Department of Mathematics
Uppsala University
Uppsal, Sweden
gaidash at math dot uu dot se

I am currently a member of the Department of Mathematics at Uppsala University. I did my undergraduate studies at MEPhI , and the graduate ones at University of Texas at Austin, my frist postdoc at University of Toronto in Toronto, and the second one at KTH in Stockholm.

Mainly dynamical systems, a little bit of solitonistics, non-linear evolution PDE's, and similar beasts... Here's my CV .

I am a co-organizer of the joint KTH-UU "Dynamics, Number theory and Analysis (DNA) seminar". For the seminar schedule please visit the DNA page .

Ordinary Differential Equations II, 1MA208, Spring 2017

Dynamical Systems, 1MA217, Fall 2016

Applied Dynamical Systems, 1MA151, Fall 2015

Fourieranalys, 1MA211, Fall 2013

Partial Differential Equations, 1MA216, Fall 2013

Dynamical Systems, 1MA217, Fall 2012

  1. Existence of stochastic parameters in Henon-like families with definite dissipation, preprint
  2. Renormalization and Siegel disks for complex Henon maps, with Michael Yampolsky and Remus Radu, e-print math/DS:1604.07069
  3. Renormalization for almost commuting pairs, with Michael Yampolsky, e-print math/DS:1604.00719
  4. Golden mean Siegel disk universality and renormalization, with Michael Yampolsky, e-print math/DS:1604.00717
  5. Spectral properties of the renormalization for area-preserving maps, preprint, with Tomas Johnson, Discrete Contin. Dyn. Sys. A 36(7) (2016)
  6. Rigidity for infinitely renormalizable area-preserving maps, with Tomas Johnson and Marco Martens, Duke Math. J. 165(1) (2016)
  7. Renormalization for Lorenz maps of monotone combinatorial types , submitted, e-print math/DS:1204.2504
  8. On the scaling ratios for Siegel disks Comm. Math. Phys. 333(2) (2015)
  9. Existence of a Lorenz renormalization fixed point of an arbitrary critical order, with Björn Winckler, Nonlinearity, 25 (2012), p 1819
  10. A Numerical Study of Infinitely Renormalizable Area-preserving Maps, with Tomas Johnson, Dynamical Systems, 27(3) (2012), 283-301
  11. Period Doubling Renormalization for Area-Preserving Maps and Mild Computer Assistence in Contraction Mapping Principle, Int. Journal of Bifurcations and Chaos, 21(11) (2011)
  12. Period doubling in area-preserving maps: an associated one-dimensional problem, Erg. Theory and Dyn. Sys. 31(4) (2011), 1193-1228
  13. On analytic perturbations of a family of Feigenbaum-like equations, J. Math. Anal. and Appl. 374(2) (2010), 355-373.
  14. Dynamics of the Universal Area-Preserving Map Associated with Period Doubling: Stable Sets, with Tomas Johnson, J. Mod. Dyn. 3(4) (2009), 1-39
  15. Dynamics of the Universal Area-Preserving Map Associated with Period Doubling: Hyperbolic Sets, with Tomas Johnson, Nonlinearity 22(10) (2009), 2487-2521.
  16. On numerical algorithms for the solution of a Beltrami equation , with Dima Khmelev, SIAM J Numer Analysis 46(5) (2008), 2238-2253.
  17. Cylinder renormalization for Siegel disks, with Michael Yampolsky, Exp. Math. 16(2) (2007), 215-226.
  18. Cylinder renormalization for Siegel disks and a constructive Measurable Riemann Mapping Theorem , Nonlinearity 20(3) (2007), 713-741.
  19. Renormalization of isoenergetically degenerate Hamiltonian flows and associated bifurcations of invariant tori, Discrete Contin. Dyn. Syst 13(1) (2005), 63-102
  20. Renormalization and shearless invariant tori: numerical results, with Hans Koch, Nonlinearity 17(5) (2004), 1713-1722.
  21. On the transverse instability of the 2-D Benjamin-Ono solitons, with Sergey Zhdanov, Phys. Fluids 16(6) (2004), 1915-1921.