4 papers · 1 filter
Birth and metamorphoses of resonances in the driven van der Pol oscillator
Jan Kyzioł, Andrzej Okniński
The dynamics of the driven van der Pol oscillator are investigated. We study birth and metamorphoses of and resonances within the formalism of differential properties o…
On the formation of the 1:2 resonance in oscillator dynamics
Jan Kyzioł, Andrzej Okniński
The dynamics of nonlinear oscillators are investigated. We study the formation of resonance in nonlinear periodically forced oscillators due to period doubling of the primary…
Asymmetric Duffing oscillator: metamorphoses of resonance and its interaction with the primary resonance
Jan Kyziol, Andrzej Okniński
We investigate the resonance in the periodically forced asymmetric Duffing oscillator due to the period-doubling of the primary resonance or forming independently, co…
Asymmetric Duffing oscillator: the birth and build-up of period doubling
Jan Kyzioł, Andrzej Okniński
In this work, we investigate the period doubling phenomenon in the periodically forced asymmetric Duffing oscillator. We use the known steady-state asymptotic solution -- the ampli…