13 citations · 19 across the 2 of their papers we have counts for
3 papers
nlin.CD2021
Duffing-type equations: singular points of amplitude profiles and bifurcations
Jan Kyzioł, Andrzej Okniński
We study the Duffing equation and its generalizations with polynomial nonlinearities. Recently, we have demonstrated that metamorphoses of the amplitude response curves, computed b…
nlin.CD2019★ 13 cited
Van der Pol - Duffing oscillator: global view of metamorphoses of the amplitude profiles
Jan Kyzioł, Andrzej Okniński
Dynamics of the Duffing--Van der Pol driven oscillator is investigated. Periodic steady-state solutions of the corresponding equation are computed within the Krylov-Bogoliubov-Mitr…
nlin.CD2012★ 6 cited
Exact nonlinear fourth-order equation for two coupled nonlinear oscillators: metamorphoses of resonance curves
Jan Kyziol, Andrzej Okninski
We study dynamics of two coupled periodically driven oscillators. The internal motion is separated off exactly to yield a nonlinear fourth-order equation describing inner dynamics.…