Email this article Perturbation Theorems for a Multifrequency System with Pulses
- Authors: Feketa P.1, Perestyuk Y.2
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Affiliations:
- University of Applied Sciences, Erfurt
- Shevchenko Kyiv National University
- Issue: Vol 217, No 4 (2016)
- Pages: 515-524
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/238101
- DOI: https://doi.org/10.1007/s10958-016-2988-6
- ID: 238101
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Abstract
We consider a problem of preservation of a piecewise continuous invariant toroidal set for a class of multifrequency systems with pulses at nonfixed times under perturbations of the right-hand side. New theorems that impose constraints on perturbation terms not in the entire phase space but only in a nonwandering set of the dynamical system guarantee the existence of exponentially stable invariant toroidal set.
About the authors
P. Feketa
University of Applied Sciences, Erfurt
Author for correspondence.
Email: petro.feketa@fh-erfurt.de
Germany, Altonaer Str. 25, Erfurt, 99085
Yu. Perestyuk
Shevchenko Kyiv National University
Email: petro.feketa@fh-erfurt.de
Ukraine, Volodymyrs’ka Str., 64, Kyiv, 01601
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