138 citations · 279 across the 11 of their papers we have counts for
5 papers · 1 filter
The cubic discriminant as an organizing principle for Duffing dynamics
Patrycja Jaros, Przemyslaw Perlikowski
We present an analytical organizing principle underlying the dynamics of the periodically forced Duffing oscillator. In the massless limit the system reduces to a time-dependent cu…
Controlling multistability by discontinuous dissipative coupling
P. Brzeski, E. Pavlovskaia, T. Kapitaniak +1
In this paper we present an influence of discontinuous coupling on the dynamics of multistable systems. Our model consists of two periodically forced oscillators that can interact…
Synchronous motion of two vertically excited planar elastic pendula
Marcin Kapitaniak, Przemyslaw Perlikowski, Tomasz Kapitaniak
The dynamics of two planar elastic pendula mounted on the horizontally excited platform have been studied. We give evidence that the pendula can exhibit synchronous oscillatory and…
The dynamics of the pendulum suspended on the forced Duffing oscillator
Piotr Brzeski, Przemyslaw Perlikowski, Serhiy Yanchuk +1
We investigate the dynamics of the pendulum suspended on the forced Duffing oscillator. The detailed bifurcation analysis in two parameter space (amplitude and frequency of excitat…
DelayAndPeriodicity
S. Yanchuk, P. Perlikowski
Systems with time delay play an important role in modeling of many physical and biological processes. In this paper we describe generic properties of systems with time delay, which…