Ekaterina Pavlovskaia

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We propose an archetypal system to investigate transitions from smooth to discontinuous dynamics. In the smooth regime, the system bears significant similarities to the Duffing oscillator, exhibiting the standard dynamics governed by the hyperbolic structure associated with the stationary state of the double well. At the discontinuous limit, however, there(More)
In this work the strange behavior of an impact oscillator with a one-sided elastic constraint discovered experimentally is compared with the predictions obtained using its mathematical model. Extensive experimental investigations undertaken on the rig developed at the Aberdeen University reveal different bifurcation scenarios under varying excitation(More)
Robots with real-time and remote network control capability by human operators are playing increasingly important roles in hazardous or challenging environments and areas. Human lives may be exposed to greater risk such as conducting maintenance and repair in nuclear contaminated areas. Although enormous research has been conducted in developing all(More)
We investigate the complex bifurcation scenarios occurring in the dynamic response of a piecewise-linear impact oscillator with drift, which is able to describe qualitatively the behaviour of impact drilling systems. This system has been extensively studied by numerical and analytical methods in the past, but its intricate bifurcation structure has largely(More)
This paper proposes a new control method applicable for a class of non-autonomous dynamical systems that naturally exhibit coexisting attractors. The central idea is based on knowledge of a system's basins of attraction, with control actions being applied intermittently in the time domain when the actual trajectory satisfies a proximity constraint with(More)
SUMMARY. In this work strange behaviour of an impact oscillator with a one sided elastic constraint discovered experimentally [1, 2] is compared with the predictions obtained using its mathematical model. Particular attention is paid to the chaos recorded near grazing frequency when a non-impacting orbit becomes an impacting one under increasing excitation(More)
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