19 citations · 43 across the 21 of their papers we have counts for
4 papers · 2 filters
Asymptotic stability of forced oscillations emanating from a limit cycle
O. Makarenkov, R. Ortega
Classical conditions for asymptotic stability of periodic solutions bifurcating from a limit cycle rely on the derivative of the corresponding bifurcation function F at the bifurca…
Bifurcation of asymptotically stable periodic solutions in nearly impact oscillators
O. Makarenkov, F. Verhulst
We use an averaging approach to prove bifurcation of asymptotically stable periodic solutions in a bi-linear oscillator whose one spring has nearly infinite stiffness. This leads t…
Variables Scaling to Solve a Singular Bifurcation Problem with Applications to Periodically Perturbed Autonomous Systems
Mikhail Kamenskii, Oleg Makarenkov, Paolo Nistri
By means of a linear scaling of the variables we convert a singular bifurcation equation in into an equivalent equation to which the classical implicit function theorem can…
Bifurcations from nondegenerate families of periodic solutions
A. Buica, J. Llibre, O. Makarenkov
By a nondegenerate -parameterized family of periodic solutions we understand the situation when the geometric multiplicity of the multiplier +1 of the linearized on syst…