6 citations · 13 across the 5 of their papers we have counts for
5 papers
Fast cycles detecting in non-linear discrete systems
D. Dmitrishin, E. Franzheva, A. Stokolos
In the paper below we consider a problem of stabilization of a priori unknown unstable periodic orbits in non-linear autonomous discrete dynamical systems. We suggest a generalizat…
From chaos to order through mixing
D. Dmitrishin, I. M. Skrinnik, A. Stokolos
In this article we consider the possibility of controlling the dynamics of nonlinear discrete systems. A new method of control is by mixing states of the system (or the functions o…
On the stability of cycles by delayed feedback control
D. Dmitrishin, P. Hagelstein, A. Khamitova +1
We present a delayed feedback control (DFC) mechanism for stabilizing cycles of one dimensional discrete time systems. In particular, we consider a delayed feedback control for sta…
Fejer and Suffridge polynomials in the delayed feedback control theory
Dmitriy Dmitrishin, Anna Khamitova, Anatolii Korenovskyi +1
A remarkable connection between optimal delayed feedback control (DFC) and complex polynomial mappings of the unit disc is established. The explicit form of extremal polynomials tu…
On the generalized linear and non-linear DFC in non-linear dynamics
Dmitriy Dmitrishin, Anna Khamitova, Alex Stokolos
The article is devoted to investigation of robust stability of the generalized linear control of the discrete autonomous dynamical systems. Sharp necessary conditions on the size o…