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Dr. Nikita Begun

begun
Image Credit: Nikita Begun

Department of Mathematics and Computer Science, Institute of Mathematics

Group Hysteresis Dynamics

Group Mathematics of Machine Learning

Associate member

Address
Arnimallee 7, rear building
Room 141
14195 Berlin
Email
begun88[at]zedat.fu-berlin.de

Research interests

  • Machine learning
  • Dynamical systems
  • Differential equations
  • Reaction-diffusion equations
  • Hyperbolic attractors
  • Systems with dry friction

Projects

Begun N., Kravetc P., Rachinskii D. 
Chaos in Saw Map 

Submitted, arXiv 1709.01962 (2018)
(pdf) 

Begun N., Pliss V. A., Sell G. 
On the stability of weakly hyperbolic invariant sets 

Journal of Differential Equations, Vol. 262, No. 4, pp. 3194-3213. 2017. 
(pdf)

Arnold M., Begun N., Gurevich P., Kwame E., Lamba H., Rachinskii D.
Dynamics of discrete time systems with a hysteresis stop operator. 

SIAM Journal on Applied Dynamical Systems. Vol. 16, No. 1, pp. 91-119. 2017 
(pdf)

Begun N., Pliss V. A., Sell G. 
On the stability of hyperbolic attractors of systems of differential equations 

Differential Equations. Vol. 52, No. 2, pp. 139-148. 2016 
(pdf)

Begun N. 
Perturbations of weakly hyperbolic invariant sets of two-dimensional periodic systems. 
  
Vestnik St. Petersburg University: Mathematics, Vol. 48, No 1, pp. 1-8 (2015) 
(pdf)

Begun N., Kryzhevich S.
One-dimensional chaos in a system with dry friction: analytical approach 
Meccanica, Vol. 50, No. 8, pp. 1935-1948 (2015) 
(pdf)

Begun N. 
On the stability of invariant sets of leaves of three-dimensional periodic systems. 

Vestnik St. Petersburg University. Mathematics, Vol. 47, No. 3, pp. 95-101. 2014. 
(pdf)

Begun N.
On the closure of the leaf invariant set of perturbed system. 
Differential Equations and Control Processes. No 1. 80-88. 2013. 
(pdf)

Begun N. 
On the stability of sheet invariant sets of swo-dimensional periodic systems. 

Vestnik St. Petersburg University. Mathematics, Vol. 45, No. 4, pp. 145-152. 2012. 
(pdf)

Begun N., Pilyugin S. Yu. 
Analogues of Takens theorems for generalized actions of the group Z
Vestnik St. Petersburg University. Mathematics, Vol. 43, No. 4, pp. 198-203. 2010. 
(pdf)

Begun N.
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. 
(pdf)