Stochastic instability of non-linear oscillations

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

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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%0 Journal Article
%T Stochastic instability of non-linear oscillations
%A G. M. Zaslavskii
%A B. V. Chirikov
%I Physics-Uspekhi
%D 1972
%J Phys. Usp.
%V 14
%N 5
%P 549-568
%U https://ufn.ru/en/articles/1972/5/a/
%U https://doi.org/10.1070/PU1972v014n05ABEH004669

Оригинал: Заславский Г М, Чириков Б В «Стохастическая неустойчивость нелинейных колебаний» УФН 105 3–39 (1971); DOI: 10.3367/UFNr.0105.197109a.0003