B. M. Gurevich, S. A. Komech, “Deformation rate of boundaries in Anosov and related systems”, Order and chaos in dynamical systems, Collected papers. On the occasion of the 125th anniversary of the birth of Academician Dmitry Victorovich Anosov, Tr. Mat. Inst. Steklova, 297, MAIK Nauka/Interperiodica, Moscow, 2017, 211–223(in russian); Proc. Steklov Inst. Math., 297 (2017), 188–199 (in english)

B.M. Gurevich & S.A. Komech, "Entropy, Lyapunov exponents and the boundary deformation rate under the action of hyperbolic dynamical systems", Journal of Difference Equations and Applications, Volume 22, Issue 1, 2016, pages 140-146.

Elena Zhizhina, Sergey Komech, Xavier Descombes, arXiv:1512.02603, Modelling axon growing using CTRW, 2015

Solvability of linear differential systems with small exponents in the Liouvillian sense, Arnold Math. J., 2015, V. 1(4), P. 445-471.
Download (584.8 KB)

Nabile Boussaid, Andrew Comech. On spectral stability of the nonlinear Dirac equation. http://arXiv.org/abs/1211.3336
Go to publication

Solitary waves of a PT-symmetric Nonlinear Dirac equation (with J. Cuevas--Maraver, P.G. Kevrekidis, A. Saxena, F. Cooper, A. Khare, and C. Bender). Journal of Selected Topics in Quantum Electronics (the IEEE Photonics Society), 22 (2016), no. 5, 1--9. DOI:10.1109/JSTQE.2015.2485607 http://arXiv.org/abs/1508.00852
Go to publication

Symmetry and Dirac points in graphene spectrum. http://arXiv.org/abs/1412.8096
Go to publication

Asymptotic stability of solitary waves in generalized Gross--Neveu model. Annales de l"Institute Henri Poincaré (Analyse non linéaire). DOI:10.1016/j.anihpc.2015.11.001 http://dx.doi.org/10.1016/j.anihpc.2015.11.001 http://arXiv.org/abs/1407.0606
Go to publication

Global Attraction to Solitary Waves, chapter in the book Quantization, PDEs, and Geometry. The Interplay of Analysis and Mathematical Physics. Advances in Partial Differential Equations 251, 117--152. Birkhäuser, Berlin, 2015. ISBN 978-3-319-22407-7
Go to publication

Vakhitov-Kolokolov and energy vanishing conditions for linear instability of solitary waves in models of classical self-interacting spinor fields Nonlinearity 28 (2015), 577--592 DOI:10.1088/0951-7715/28/3/577 MR3311594 http://arxiv.org/abs/1306.5150
Go to publication

On linear instability of solitary waves for the nonlinear Dirac equation Annales de l"Institute Henri Poincaré (Analyse non linéaire), 31 (2014), 639--654 DOI:10.1016/j.anihpc.2013.06.001 MR3208458 http://arXiv.org/abs/1209.1146
Go to publication