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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RT Journal
T1 Stochastic instability of non-linear oscillations
A1 Zaslavskii,G.M.
A1 Chirikov,B.V.
PB Physics-Uspekhi
PY 1972
FD 10 May, 1972
JF Physics-Uspekhi
JO Phys. Usp.
VO 14
IS 5
SP 549-568
DO 10.1070/PU1972v014n05ABEH004669
LK https://ufn.ru/en/articles/1972/5/a/

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