138 citations · 279 across the 11 of their papers we have counts for
11 papers
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…
Performance of energy harvesters with parameter mismatch
Tomasz Burzyński, Piotr Brzeski, Przemysław Perlikowski
This study explores the impact of parameter mismatch on the stability of cross-well motion in energy harvesters, using a basin stability metric. Energy harvesters, essential for co…
Basin stability approach for quantifying responses of multistable systems with parameters mismatch
P. Brzeski, M. Lazarek, T. Kapitaniak +2
In this paper we propose a new method to detect and classify coexisting solutions in nonlinear systems. We focus on mechanical and structural systems where we usually avoid multist…
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…
Analysis of transition between different ringing schemes of the church bell
Piotr Brzeski, Tomasz Kapitaniak, Przemyslaw Perlikowski
In this paper we investigate dynamics of church bells, characterize their most common working regimes and investigate how to obtain them. To simulate the behavior of the yoke-bell-…
The dynamics of co- and counter rotating coupled spherical pendulums
Blazej Witkowski, Przemyslaw Perlikowski, Awadhesh Prasad +1
The dynamics of co- and counter-rotating coupled spherical pendulums (two lower pendulums are mounted at the end of the upper pendulum) is considered. Linear mode analysis shows th…
Synchronization of two self-excited double pendula
Piotr Koluda, Przemyslaw Perlikowski, Krzysztof Czolczynski +1
We consider the synchronization of two self-excited double pendula. We show that such pendula hanging on the same beam can have four different synchronous configurations. Our appro…
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…
Amplitude equations and fast transition to chaos in rings of coupled oscillators
S. Yanchuk, P. Perlikowski, M. Wolfrum +2
We study the coupling induced destabilization in an array of identical oscillators coupled in a ring structure where the number of oscillators in the ring is large. The coupling st…
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…