activity
20042012
most citedHomoclinic transition to chaos in the Ueda oscillator with external forcing

2 citations · 2 across the 10 of their papers we have counts for

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Showing 2006Show all

8 papers · 1 filter

nlin.CD2006

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…

nlin.CD2006

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…

nlin.CD2006★ 2 cited

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…

nlin.CD2006

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…

nlin.CD2006

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…

nlin.CD2006

Vibration of the Duffing Oscillator: Effect of Fractional Damping

Marek Borowiec, Grzegorz Litak, Arkadiusz Syta

We have applied the Melnikov criterion to examine a global homoclinic bifurcation and transition to chaos in a case of the Duffing system with nonlinear fractional damping and exte…