4 citations · 4 across the 7 of their papers we have counts for
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Equivariant Versions of Odd Number Theorem
Edward Hooton, Pavel Kravetc, Dmitrii Rachinskii
We consider the problem of stabilization of unstable periodic solutions to autonomous systems by the non-invasive delayed feedback control known as Pyragas control method. The Odd…
On geometric conditions for reduction of the Moreau sweeping process to the Prandtl-Ishlinskii operator
D. Rachinskii
The sweeping process was proposed by J. J. Moreau as a general mathematical formalism for quasistatic processes in elastoplastic bodies. This formalism deals with connected Prandtl…
Blow Up of a Cycle in Lotka-Volterra Type Equations with Competition-Cooperation Terms and Quasi-Linear Systems
E. Bouse, D. Rachinskii
We consider systems where a cycle born via the Hopf bifurcation blows up to infinity as a parameter ranges over a finite interval. Two examples demonstrating this effect are presen…
Topological degree in analysis of canard-type trajectories in 3-D systems
Alexei Pokrovskii, Dmitrii Rachinskii, Vladimir Sobolev +1
We propose sufficient conditions for existence of topologically stable periodic canard solutions in non-smooth slow-fast systems.