Perturbed stable systems on a plane. Part 1 |
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Authors: | V. V. Aleksandrov O. V. Aleksandrova I. S. Konovalenko K. V. Tikhonova |
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Affiliation: | 1.Faculty of Mechanics and Mathematics,Moscow State University,Moscow,Russia;2.Faculty of Physics and Mathematics,Autonomous University of Puebla,Puebla,Mexico |
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Abstract: | The possibility of extending the concept of rough dynamical systems in the presence of a time-varying perturbation defined up to a functional set in the space of piecewise continuous functions is considered. The constructability of this extension is achieved by the construction of limit cycles giving an estimate of attainability sets for oscillatory systems. |
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