19 citations · 31 across the 7 of their papers we have counts for
8 papers
A new approach in the theory of ordinary differential equations with small parameter
Mikhail Kamenskii, Oleg Makarenkov, Paolo Nistri
A topological degree based averaging principle has been proposed by J. Mawhin in his PhD thesis [J. Mawhin, Le Probleme des Solutions Periodiques en Mecanique non Lineaire, These d…
Periodic solutions for a class of singulary perturbated systems
Mikhail Kamenskii, Oleg Makarenkov, Paolo Nistri
In this paper we provide conditions to ensure the existence, for sufficiently small, of periodic solutions of given period in a prescribed domain for a class of sin…
Synchronization problems for unidirectional feedback coupled nonlinear systems
O. Makarenkov, P. Nistri, D. Papini
In this paper we consider three different synchronization problems consisting in designing a nonlinear feedback unidirectional coupling term for two (possibly chaotic) dynamical sy…
Periodic bifurcation from families of periodic solutions for semilinear differential equations with Lipschitzian perturbations in Banach spaces
Mikhail Kamenskii, Oleg Makarenkov, Paolo Nistri
Let A:D(A)\to E be an infinitesimal generator either of an analytic compact semigroup or of a contractive C_0-semigroup of linear operators acting in a Banach space E. In this pape…
A continuation principle for a class of periodically perturbed autonomous systems
Mikhail Kamenskii, Oleg Makarenkov, Paolo Nistri
In this paper we evaluate the topological index of periodic solutions otained via the Malkin-Loud bifurcation result. Incidentally, we do not assume that the perturbation is differ…
Periodic solutions of periodically perturbed planar autonomous systems: A topological approach
Mikhail Kamenskii, Oleg Makarenkov, Paolo Nistri
Aim of this paper is to investigate the existence of periodic solutions of a nonlinear planar autonomous system having a limit cycle x_0 of least period T_0>0 when it is perturbed…