32 citations · 96 across the 34 of their papers we have counts for
40 papers
Topological properties of elastoplastic lattice spring models that determine terminal distributions of plastic deformations
Oleg Makarenkov, Josean Albelo-Cortes
A recent result by Gudoshnikov et al [SIAM J. Control Optim. 2022] ensures finite-time convergence of the stress-vector of an elastoplastic lattice spring model under assumption th…
Sweeping process approach to stress analysis in elastoplastic Lattice Springs Models with applications to Hyperuniform Network Materials
Ivan Gudoshnikov, Yang Jiao, Oleg Makarenkov +1
Disordered network materials abound in both nature and synthetic situations while rigorous analysis of their nonlinear mechanical behaviors still is very challenging. The purpose o…
Finite-time stability of polyhedral sweeping processes with application to elastoplastic systems
Ivan Gudoshnikov, Oleg Makarenkov, Dmitry Rachinskiy
We use the ideas of Adly-Attoych-Cabot [Adv. Mech. Math., 12, Springer, 2006] on finite-time stabilization of dry friction oscillators to establish a theorem on finite-time stabili…
Existence and stability of a limit cycle in the model of a planar passive biped walking down a slope
Oleg Makarenkov
We consider the simplest model of a passive biped walking down a slope given by the equations of switched coupled pendula (McGeer, 1990). Following the fundamental work by Garcia e…
Structurally stable families of periodic solutions in sweeping processes of networks of elastoplastic springs
Ivan Gudoshnikov, Oleg Makarenkov
Networks of elastoplastic springs (elastoplastic systems) have been linked to differential equations with polyhedral constraints in the pioneering paper by Moreau (1974). Periodic…
Global asymptotic stability of nonconvex sweeping processes
Lakmi Niwanthi Wadippuli, Ivan Gudoshnikov, Oleg Makarenkov
Building upon the technique that we developed earlier for perturbed sweeping processes with convex moving constraints and monotone vector fields (Kamenskii et al, Nonlinear Anal. H…