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Perturbed stable systems on a plane. Part 1
Authors:V. V. Aleksandrov  O. V. Aleksandrova  I. S. Konovalenko  K. V. Tikhonova
Affiliation:1.Faculty of Mechanics and Mathematics,Moscow State University,Moscow,Russia;2.Faculty of Physics and Mathematics,Autonomous University of Puebla,Puebla,Mexico
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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