Generalized-periodic motions of nonautonomous systems
- 1 January 2017
- journal article
- Published by Pleiades Publishing Ltd in Differential Equations
- Vol. 53 (1), 1-7
- https://doi.org/10.1134/S0012266117010013
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.Keywords
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