Education

2016 — Habilitation
Institution: University of Leipzig
Thesis title: Quantitative Properties of Infinite and Finite Pseudotrajectories
Committee Chair: S. Luckhaus

2016 — D.Sc. in Mathematics and Physics («Differential Equations, Dynamical Systems and Optimal Control»)
Institution: Institute for Information Transmission Problems RAS
Thesis title: Dynamical Systems with Various Shadowing Properties
Committee Chair: Ya.G. Sinai

2009 — Ph.D. (C.Sc.) in Mathematics and Physics («Differential Equations»)
Institution: St. Petersburg State University
Thesis title: Shadowing of Pseudotrajectories in Smooth Flows
Advisor: S.Yu. Pilyugin

2005 — M.Sc. in Mathematics
Institution: Saint Petersburg State University

Scientific interests

• dynamical systems

Selected publications

1. T. Fisher and T. Petty and S. Tikhomirov. Nonlocally maximal and premaximal hyperbolic sets. Аccepted by Communications in Contemporary Mathematics
2. S. Tikhomirov. On absolute nonshadowability of transitive maps. Differential Equations and Control Processes (2016), N3 57–65.
3. S. Tikhomirov, M. Curran and P. Gurevich. Recent Advances in reaction-diffusion equations with non-ideal relay. Control of Self-Organizing Nonlinear Systems (2016), Understanding Complex Systems, pp. 211–234, Springer.
4. S. Tikhomirov, S. Gan and M. Li. Oriented shadowing property and $Ω$-stability for vector fields. Journal of Dynamics and Differential Equations, 28 (2016), 225–237.
5. S. Tikhomirov. An example of a vector field with the oriented shadwoing property. Journal of Dynamics and Control Systems. 21 (2015), no. 4, 643–654.

Additional Information

sergey.tikhomirov@gmail.com

Teaching