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On the periodic motions near a given periodic motion of a dynamical system

✍ Scribed by G. D. Birkhoff; D. C. Lewis


Book ID
112746264
Publisher
Springer
Year
1934
Tongue
English
Weight
940 KB
Volume
12
Category
Article
ISSN
0373-3114

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The periodic motions of a gas
✍ L.V. Ovsyannikov πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 583 KB

Two-dimensional periodic motions of a gas, described by a class of rotational and rotational-symmetrical exact solutions of the gas-dynamic equations, are considered. The investigation is based on constructing first integrals and a lemma on the existence of periodic functions, defined by quadratures