2 citations · 2 across the 10 of their papers we have counts for
10 papers
Transition to chaos and escape phenomenon in two degrees of freedom oscillator with a kinematic excitation
Marek Borowiec, Grzegorz Litak
We study the dynamics of a two-degrees-of-freedom (two DOF) nonlinear oscillator representing a quartercar model excited by a road roughness profile. Modelling the road profile by…
Response of a Magneto-Rheological Fluid Damper Subjected to Periodic Forcing in a High Frequency Limit
Marek Borowiec, Grzegorz Litak, Rafal Kasperek
We explored vibrations of a single-degree of freedom oscillator with a magneto-rheological damper subjected to kinematic excitations. Using fast and slow scales decoupling procedur…
Vibration of Generalized Double Well Oscillators
Grzegorz Litak, Marek Borowiec, Arkadiusz Syta
We have applied the Melnikov criterion to examine a global homoclinic bifurcation and transition to chaos in a case of a double well dynamical system with a nonlinear fractional da…
Homoclinic transition to chaos in the Ueda oscillator with external forcing
Grzegorz Litak, Arkadiusz Syta, Marek Borowiec
We examine the Melnikov criterion for transition to chaos in case of a single degree of freedom nonlinear oscillator with the Ueda well potential and an external periodic excitatio…
Phase lock and rotational motion of a parametric pendulum
Grzegorz Litak, Marek Borowiec, Marian Wiercigroch
The effect of noise on a rotational mode of a pendulum excited kinematically in vertical direction has been analyzed. We have shown that for a weak noise transitions from oscillati…
Vibrations of a Pendulum with Oscillating Support and Extra Torque
Marek Borowiec, Grzegorz Litak, Hans Troger
The motion of a driven planar pendulum with vertically periodically oscillating point of suspension and under the action of an additional constant torque is investigated. We study…