email:
Tel: +49 176 32848886
Master degree in mathematics, Saint-Petersburg State University, 2005
Ph.D. degree in mathematics, Saint-Petersburg State University, 2009
Thesis title: "Shadowing of pseudotrajectories in smooth flows"
Thesis Advisor: Sergei Yurievich Pilyugin
Currently organizing:
December 12-14, Wittenberg, Germany
Research interests: Dynamical Systems
Lectures on Shadowing and Structural Stability
Page of the course
Presentations
Publications
- Tikhomirov S. B. (with Pilyugin S.Yu., Palmer K.J.) Lipschitz shadowing for Flows[pdf, arXiv]
J. Differential Equations 252 (2012) 1723-1747- Tikhomirov S. B. (with Gurevich P.) Symmetric periodic solutions of parabolic problems with hysteresis. [pdf, arXiv]
Journal of Dynamics and Differential Equations 23 (2011) 923-960 - Tikhomirov S. B. (with Pilyugin S. Yu.) On Lipschitz Shadowing and structural stability [pdf, arXiv]
Nonlinearity 23 (2010) 2509–2515
- Tikhomirov S. B. (with Pilyugin S. Yu., Osipov A. V.) Periodic Shadowing and $\Omega$-stability [pdf, arXiv]
Regul. Chaotic Dyn. 15 (2010), no. 2-3, 404–417.
- Tikhomirov S. B. (with Pilyugin S. Yu.) Vector fields with the oriented shadowing property [pdf, arXiv]
J. Differential Equations 248 (2010), no. 6, 1345–1375
- Tikhomirov S. B. (with Pilyugin S. Yu.) Sets of vector fields with various shadowing properties of pseudotrajectories [pdf, arXiv]
Doklady Mathematics. (2008), Vol. 78. N. 2. p. 669-670.
- Tikhomirov S. B. Interiors of sets of vector fields corresponding to some classes of reparametrizations [pdf, arXiv]
Vestnik Saint-Peterburg University. Mathematics. (2008), N.4 p. 90-97
- Tikhomirov S. B. A method for investigation of a neighborhood of a nontransverse homoclinic point of a two-dimensional diffeomorphism [pdf, in Russian]
Diff. Equat. and Control Processes. (2006), N1, p. 48-77.
- Tikhomirov S. B. (with Pilyugin S. Yu.) Shadowing in actions of some abelian groups [pdf]
Fund. Math. (2003) Vol. 179. pp. 83-96.
Works in Progress
- Tikhomirov S. B. The Holder shadowing property [pdf, arXiv] (under improvement)
- Tikhomirov S.B. (with S. Kryzhevich) Partial hyperbolicity and central shadowing [pdf, arXiv]
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