46 citations · 102 across the 26 of their papers we have counts for
4 papers · 1 filter
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…
Non-invasive stabilization of periodic orbits in -symmetrically coupled Van der Pol oscillators
Zalman Balanov, Edward Hooton, Wieslaw Krawcewicz +1
Pyragas time delayed feedback control has proven itself as an effective tool to non-invasively stabilize periodic solutions. In a number of publications, this method was adapted to…
Dynamics of Discrete Time Systems with a Hysteresis Stop Operator
Maxim Arnold, Nikita Begun, Pavel Gurevich +3
We consider a piecewise linear two-dimensional dynamical system that couples a linear equation with the so-called stop operator. Global dynamics and bifurcations of this system are…
Pulsating dynamics of slow-fast population models with delay
Pavel Kravetc, Dmitrii Rachinskii, Andrei Vladimirov
We discuss a bifurcation scenario which creates periodic pulsating solutions in slow-fast delayed systems through a cascade of almost simultaneous Hopf bifurcations. This scenario…