Natalia G. Gelfreikh


Senior lecturer, Dr.


 Directions of research

  • dynamical systems,
  • bifurcation theory.

 Research papers

  • Normal Forms for Three-parametric Families of Area Preserving Maps near an Elliptic Fixed Point, Regular and Chaotic Dynamics, 2018, vol. 23, No. 3, pp. 273-290

gelfreich_2013_n6b_exp2 gelfreich_2013_n6a_exp2

Basic Research papers

  1. Gelfreich V., Gelfreikh N., Unique normal forms near a degenerate elliptic fixed point in two-parametric families of area-preserving maps. Nonlinearity 27 (2014) 1645-1667
  2. Gelfreich V., Gelfreikh N. Unique normal forms for area preserving maps near a fixed point with neutral multipliers. Regular and Chaotic Dynamics, 2010, Vol. 15, No. 2–3, pp. 300–318
  3. Gelfreich V., Gelfreikh N., Unique resonant normal forms for area-preserving maps at an elliptic fixed point. Nonlinearity 22 (2009), 783-810

Research Project for students:

  • «Normal forms and bifurcations for multi-parametric families of area preserving maps.»


  1. lectures «Calculus. Basic stream»,
  2. seminars «Calculus»,
  3. seminars «Higher algebra».

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