22 citations · 59 across the 20 of their papers we have counts for
5 papers · 1 filter
Instabilities in quasiperiodic motion lead to intermittent large-intensity events in Zeeman laser
S. Leo Kingston, Arindam Mishra, Marek Balcerzak +2
We report intermittent large-intensity pulses that originate in Zeeman laser due to instabilities in quasiperiodic motion, one route follows torus-doubling to chaos and another goe…
Another characterization of meager ideals
Marek Balcerzak, Szymon Glab, Paolo Leonetti
We show that an ideal on the positive integers is meager if and only if there exists a bounded nonconvergent real sequence such that the set of subsequences [resp…
Games characterizing certain families of functions
Marek Balcerzak, Tomasz Natkaniec, Piotr Szuca
We obtain several game characterizations of Baire 1 functions between Polish spaces X, Y which extends the recent result of V. Kiss. Then we propose similar characterizations for e…
A novel, Fourier series based method of control optimization and its application to a discontinuous capsule drive model
Sandra Zarychta, Tomasz Sagan, Marek Balcerzak +3
This paper presents a novel, Fourier series based numerical method of open-loop control optimization. Due to its flexible assumptions, it can be applied in a large variety of syste…
Cutting sets of continuous functions on the unit interval
Marek Balcerzak, Piotr Nowakowski, Michał Popławski
For a function , we consider the set of points at which cuts the real axis. Given and a Cantor set $D\subset [0,1]…