46 citations · 102 across the 26 of their papers we have counts for
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math.DS2016
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…
math.DS2016
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…
math.DS2016
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…