8 citations · 13 across the 4 of their papers we have counts for
4 papers
Slow-fast systems with an equilibrium near the folded slow manifold
Natalia G. Gelfreikh, Alexey V. Ivanov
We study a slow-fast system with two slow and one fast variables. We assume that the slow manifold of the system possesses a fold and there is an equilibrium of the system in a sma…
Normal forms for three-parametric families of area-preserving maps near an elliptic fixed point
Natalia Gelfreikh
We study dynamics of area-preserving maps in a neighbourhood of an elliptic fixed point. We describe simplified normal forms for a fixed point of co-dimension 3. We also construct…
Simplified normal forms near a degenerate elliptic fixed point in two-parametric families of area-preserving maps
Vassili Gelfreich, Natalia Gelfreikh
We derive simplified normal forms for an area-preserving map in a neighbourhood of a degenerate resonant elliptic fixed point. Such fixed points appear in generic two-parameter fam…
Unique resonant normal forms for area preserving maps at an elliptic fixed point
V. Gelfreich, N. Gelfreikh
We construct a resonant normal form for an area-preserving map near a generic resonant elliptic fixed point. The normal form is obtained by a simplification of a formal interpolati…