12 citations · 12 across the 4 of their papers we have counts for
4 papers
Summation of power singularities
A. V. Ivanov
In this paper, we investigate an example of summation of non-logarithmic singularities of a specific type in a two-dimensional non-linear sigma model. As a result of the study, we…
An etude on a renormalization
A. V. Ivanov
In this paper, we study renormalization, that is, the procedure for eliminating singularities, for a special model using both combinatorial techniques in the framework of working w…
On difference Riccati equation and continued fractions
Alexey V. Ivanov
We study a difference Riccati equation with periodic continuos coefficients. Using continued fraction theory we investigate a problem of existence o…
Vanishing Twist in the Hamiltonian Hopf Bifurcation
Holger R. Dullin, Alexey V. Ivanov
The Hamiltonian Hopf bifurcation has an integrable normal form that describes the passage of the eigenvalues of an equilibrium through the 1: -1 resonance. At the bifurcation the p…