6 citations · 6 across the 3 of their papers we have counts for
3 papers
math.DS2009
One Upper Estimate on the Number of Limit Cycles of Even Degree Liénard Equations in the Focus Case
Grisha Kolutsky
We give an explicit upper bound for a number of limit cycles of the Liénard equation , of even degree in the case its unique singular point is…
math.DS2009
Geometric Continued Fractions as Invariants in the Topological Classification of Anosov Diffeomorphisms of Tori
Grisha Kolutsky
We show how an object from the combinatorially geometric version of the analytical number theory, namely geometric continued fractions, appears in the classical smooth dynamics, na…
math.DS2008★ 6 cited
On the hyperbolic automorphisms of the 2-torus and their Markov partitions
Dmitry V. Anosov, Alexey V. Klimenko, Grisha Kolutsky
In the paper we give an introduction to Anosov diffeomorphisms, ways to represent their chaotic properties and some historical remarks on this subject. A complete classification of…