[1.] Yu. S. Ilyashenko, M. Saprykina,
Embedding theorems for local families
and oscillatory slow-fast systems , Progress in nonlinear science,
Vol. 1 (Nizhny Novgorod, 2001), 389--410, RAS, Inst. Appl. Phys.,
Nizhny Novgorod, 2002.
[2.] M. Saprykina, Analytic non-linearizable uniquely ergodic
diffeomorphisms on the
two-torus, Ergodic Theory Dynam. Systems 23
(2003), no. 3, 935--955. pdf
[3.] B. Fayad, M. Saprykina,
Weak mixing disc and annulus diffeomorphisms with
arbitrary Liouville rotation number on the boundary,
Annales de l'Ecole Normale Sup.38 (2005) no.3, 339--364,
pdf.
[4.] V. Kaloshin, M. Saprykina,
Generic volume-preserving diffeomorphisms
with superexponential growth of number of
periodic orbits, Discrete and Cont. Dyn. Syst.,
15, (2006) no. 2, 611 -- 640; pdf.
[5.] M. Saprykina,
Domains of analyticity of normalizing transformations,Nonlinearity, 19 (2006), no. 7, 1581--1599;
[6.] B. Fayad, M. Saprykina, A. Windsor,
Smooth realizations of Liouvillean rotations of the circle,
Ergodic Theory and Dynamical Systems, vol. 27, Issue 06, (2007),
pp 1803-1818; pdf.
[7.] K. Bjerklöv and M. Saprykina,
Universal asymptotics in hyperbolicity breakdown, Nonlinearity,
21 (2008), no 3, 557-586;
pdf.
[8.] V. Kaloshin, M. Saprykina,
An example of a nearly integrable
Hamiltonian system with a trajectory dense in a set of almost maximal
Hausdorff dimension, Comm. Math. Phys. 315 (2012), no. 3,
643--697;
pdf.
[9.] V. Kaloshin, M. Levi, M. Saprykina, Arnold diffusion in a
pendulum lattice, Comm. Pure Appl. Math. 67 (2014), no. 5, 748--775.;
pdf.
[10.] B. Fayad, M. Saprykina, Isolated elliptic fixed points for smooth Hamiltonians, 2016, submitted.