19 citations · 44 across the 12 of their papers we have counts for
12 papers
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…
Hagen-Hurley equations and the boson
Andrzej Okniński
We proceed with our study of the Hagen-Hurley equations describing spin one bosons. In this work, we describe a general decay of the Hagen-Hurley boson. It is important that the tr…
Asymmetric Duffing oscillator: jump manifold and border set
Jan Kyzioł, Andrzej Okniński
We study the jump phenomenon present in the forced asymmetric Duffing oscillator using the known steady-state asymptotic solution. The major result is the computation of the jump m…
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…
Effective equation for two coupled oscillators: towards a global view of metamorphoses of the amplitude profiles
Jan Kyzioł, Andrzej Okniński
Dynamics of nonlinear coupled driven oscillators is investigated. Recently, we have demonstrated that the amplitude profiles -- dependence of the amplitude on frequency of…
Decays of bosons: possible mixing of spin and spin states
Andrzej Okniński
We study decays of a spin boson within the formalism of Hagen-Hurley equations. Such particle can decay into two spin particles, a Weyl neutrino and a massive fer…
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…
Some remarks on relativistic zero-mass wave equations and supersymmetry
Andrzej Okniński
We study several formulations of zero-mass relativistic equations, stressing similarities between different frameworks. It is shown that all these massless wave equations have ferm…
Bouncing ball dynamics: simple model of motion of the table and sinusoidal motion
Andrzej Okniński, Bogusław Radziszewski
Nonlinear dynamics of a bouncing ball moving vertically in a gravitational field and colliding with a moving limiter is considered and the Poincaré map, describing evolution from a…