19 citations · 45 across the 23 of their papers we have counts for
8 papers · 1 filter
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…
A continuation principle for periodic BV-continuous state-dependent sweeping processes
Mikhail Kamenskii, Oleg Makarenkov, Lakmi Niwanthi Wadippuli
We consider a Caratheodory differential equation with a state-dependent convex constraint that changes BV-continuously in time (a perturbed BV-continuous state-dependent sweeping p…
Bifurcations of finite-time stable limit cycles from focus boundary equilibria in impacting systems, Filippov systems and sweeping processes
Oleg Makarenkov, Lakmi Niwanthi Wadippuli
We establish a theorem on bifurcation of limit cycles from a focus boundary equilibrium of an impacting system, which is universally applicable to prove bifurcation of limit cycles…
Bifurcation of limit cycles from a switched equilibrium in planar switched systems and its application to power converters
Oleg Makarenkov
We consider a switched system of two subsystems that are activated as the trajectory enters the regions and respectively, where …