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Pozycja Coupling multistable systems: uncertainty due to the initial positions on the attractors(2014) Kuźma, Patrycja; Kapitaniak, Marcin; Kapitaniak, TomaszWe consider the coupling of multistable nonidentical systems. For small values of the coupling coefficient the behavior of the coupled system strongly depends on the actual position of trajectories on their attractors in the moment when the coupling is introduced. After reaching the coupling threshold value, this dependence disappears. We give an evidence that this behavior is robust as it exists for a wide range of parameters and different types of coupling. We argue why this behavior cannot be considered as a dependence on the initial conditions.Pozycja Energy balance of two synchronized self-excited pendulums with different masses.(Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej, 2012) Kapitaniak, Tomasz; Czołczyński, Krzysztof; Perlikowski, Przemysław; Stefański, AndrzejWe consider the synchronization of two self-excited pendulums with different masses. We show that such pendulums hanging on the same beam can show almost-complete (in-phase) and almost-antiphase synchronizations in which the difference of the pendulums displacements is small. Our approximate analytical analysis allows one to derive the synchronization conditions and explains the observed types of synchronizations as well as gives an approximate formula for amplitudes of both the pendulums and the phase shift between them. We consider the energy balance in the system and show how the energy is transferred between the pendulums via the oscillating beam allowing synchronization of the pendulums.Pozycja Coupling multistable systems: uncertainly due to the initial positions on the attractors.(Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej, 2014) Kuźma, Patrycja; Kapitaniak, Marcin; Kapitaniak, TomaszWe consider the coupling of multistable nonidentical systems. For small values of the coupling coefficient the behavior of the coupled system strongly depends on the actual position of trajectories on their attractors in the moment when the coupling is introduced. After reaching the coupling threshold value, this dependence disappears. We give an evidence that this behavior is robust as it exists for a wide range of parameters and different types of coupling. We argue why this behavior cannot be considered as a dependence on the initial conditions.