Email this article Generalized-periodic motions of nonautonomous systems
- Authors: Afanas’ev A.P.1,2,3, Dzyuba S.M.4
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Affiliations:
- Institute for Information Transmission Problems
- Lomonosov Moscow State University
- National University of Science and Technology “MISIS”
- Tver State Technical University
- Issue: Vol 53, No 1 (2017)
- Pages: 1-7
- Section: Ordinary Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154222
- DOI: https://doi.org/10.1134/S0012266117010013
- ID: 154222
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Abstract
The definition and existence criterion are given for the generalized-periodic motions of a certain wide class of systems. The class contains all the systems that can be characterized by the classical periodic operator of displacement, the systems generated by the Volterra integral equations, and some others. A relationship is established between generalized-periodic motions and integral invariant sets.
About the authors
A. P. Afanas’ev
Institute for Information Transmission Problems; Lomonosov Moscow State University; National University of Science and Technology “MISIS”
Author for correspondence.
Email: apa@isa.ru
Russian Federation, Moscow, 127051; Moscow, 119992; Moscow, 119049
S. M. Dzyuba
Tver State Technical University
Email: apa@isa.ru
Russian Federation, Tver, 170026
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