3 citations · 6 across the 5 of their papers we have counts for
5 papers
On the Koebe Quarter Theorem for Polynomials
Jimmy Dillies, Dmitriy Dmitrishin, Andrey Smorodin +1
D. Dimitrov has posed the problem of finding polynomials that set the sharpness of the Koebe Quarter Theorem for polynomials and asked whether Suffridge polynomials are optimal. We…
Finding, Stabilizing, and Verifying Cycles of Nonlinear Dynamical Systems
D. Dmitrishin, I. E. Iacob, I. Skrinnik +1
We present a new solution for fundamental problems in nonlinear dynamical systems: finding, verifying, and stabilizing cycles. The solution we propose consists of a new control met…
Further finding results for cycles by semilinear control
Dmitriy Dmitrishin, Elena Franzheva, Alex Stokolos
We provide a simple method for detecting of cycles in discrete autonomous vector dynamical systems. The method generalizes some results by O.Morgul.
Extremal trigonometric polynomials and the problem of optimal stabilization of chaos
D. V. Dmitrishin, A. D. Khamitova
The paper contains an example of harmonic analysis applications to the problem of chaos stabilization by the DFC methods
An extremal property of trigonometric polynomials
D. V. Dmitrishin, A. D. Khamitova
In this article the solution of the special problem of the conditional extremum for the conjugate trigonometric polynomials is given. A possibility to apply this result to the prob…