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Reviews of topical problems


Stochastic instability of non-linear oscillations

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CONTENTS
1. Introduction 549
2. A One-dimensional Non-linear Oscillator Acted on by a Periodic Perturbation 551
3. Fundamental Concepts of Ergodic Theory 554
4. Numerical Experiments 560
5. Stochastic Fermi Acceleration 560
6. The Stochastic Layer and the Condition of Overlapping Resonances 562
7. The Random-phase Approximation and the Fundamental Kinetic Equation (Master Equation) 564
8. Bibliography 566

Fulltext pdf (2.1 MB)
Fulltext is also available at DOI: 10.1070/PU1972v014n05ABEH004669
PACS: 02.50.Ey, 05.45.Xt, 02.50.Cw, 02.60.−x (all)
DOI: 10.1070/PU1972v014n05ABEH004669
URL: https://ufn.ru/en/articles/1972/5/a/
Citation: Zaslavskii G M, Chirikov B V "Stochastic instability of non-linear oscillations" Sov. Phys. Usp. 14 549–568 (1972)
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Оригинал: Заславский Г М, Чириков Б В «Стохастическая неустойчивость нелинейных колебаний» УФН 105 3–39 (1971); DOI: 10.3367/UFNr.0105.197109a.0003

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