Dynamical Systems seminar is supported by RFBR project 20-01-00420-a and Laboratory Poncelet.

Papers

Материал из DSWiki
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Foliations

Attractors & time averages

Invisible attractors

  • V. Kleptsyn, An example of non-coincidence of minimal and statistical attractors, Ergodic Theory and Dynamical Systems, 26 (2006), no. 3, pp. 759-768.
  • T. Golenishcheva-Kutuzova, V. Kleptsyn, Non-convergence of the Krylov-Bogolubov procedure for the Bowen's example, Mathematical Notes, 82 (2007), no. 5, pp. 678—689.
  • Yu. Ilyashenko, V. Kleptsyn, P. Saltykov, Openness of the set of boundary preserving maps of an annulus with intermingled attracting basins. Journal of Fixed Point Theory and Applications, 3 (2008), no. 2, pp. 449--463.

Lyapunov exponents

  • A. S. Gorodetski, Yu. S. Ilyashenko, V. A. Kleptsyn, M. B. Nalsky, Nonremovable Zero Lyapunov Exponents, Funkts. Anal. Prilozh., 39:1 (2005), 27–38
  • V. Kleptsyn, M. Nalski, Stability of existence of non-hyperbolic measures for C¹-diffeomorphisms, Functional Analysis and its Applications, 41 (2007), no. 4, pp. 271--283.

One-dimensional dynamics

Slow-fast systems

Limit cycles

  • P. Kaleda, I. Schurov. Cyclicity of Elementary Polycycles with Fixed Singular Points Number in Generic k-Parametric Families. To appear in Algebra and Analysis (St. Petersburg Mathematical Journal) (Рус.: «Цикличность элементарных полициклов с фиксированным числом особых точек в типичных k-параметрических семействах».)