Dr. Nikita Begun
Research interests
- Dynamical systems
- Differential equations
- Reaction-diffusion equations
- Hyperbolic attractors
- Systems with dry friction
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Address:
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Freie Universität Berlin
Institut für Mathematik
Arnimallee 3
D - 14195 Berlin
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| Office: |
135, Arnimallee 3, rear building |
| Phone: |
+ 49 - 30 - 838 755 80 |
| E-mail: |
begun at math.fu-berlin.de
(replace the "at" by a @) |
Projects
Preprints and Publications
- N. A. Begun, V. A. Pliss, G. Sell
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On the Stability of Weakly Hyperbolic Invariant Sets
Journal of Differential Equations, 2017.
- M. Arnold, N. A. Begun, P. Gurevich, E. Kwame, H. Lamba and D. Rachinskii
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Dynamics of Discrete Time Systems with a Hysteresis Stop Operator
SIAM J. Applied Dynamical Systems, 2017.
- N. A. Begun, V. A. Pliss and J. R. Sell
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On the stability of hyperbolic attractors of systems of differential equations
Differential Equations (2016) 52: 139.
- N. A. Begun
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Perturbations of Weakly Hyperbolic Invariant Sets of a Two-Dimensional Periodic System.
Vestnik St. Petersburg University. Ser. 1 Mat. Mekh. Astron., 2015, no. 1, pp. 23–33.
- N. A. Begun and S. G. Kryzhevich
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One-dimensional chaos in a system with dry friction: analytical approach
Meccanica. 2015.
- N. A. Begun
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On the Stability of Leaf Invariant Sets of Three-Dimensional Periodic Systems.
Vestnik St. Petersburg University. Mathematics, No. 3. 12-19. 2014.
- N. A. Begun
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On the closure of the leaf invariant set of perturbed system.
Differential Equations and Control Processes. No 1. 80-88. 2013.
- N. A. Begun
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On the Stability of Sheet Invariant Sets of Two-Dimensional Periodic Systems.
Vestnik St. Petersburg University. Mathematics, Vol. 45, No. 4, pp. 145-152. 2012.
- N. A. Begun and S. Yu. Pilyugin
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Analogues of Takens Theorems for Generalized Actions of the Group Z^{\infty}.
Vestnik St. Petersburg University. Mathematics, Vol. 43, No. 4, pp. 198-203. 2010.
- N. A. Begun
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On the Existence of Square-Integrable Solutions for Systems with Weak Nonlinearity.
Vestnik St. Petersburg University. Mathematics, Vol. 43, No. 2, pp. 74-81. 2010.
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Last change: Jul. 12, 2017
