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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2004, Volume 79, Issue 11, Pages 651–656
(Mi jetpl2310)
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This article is cited in 17 scientific papers (total in 17 papers)
PLASMA, GASES
On the maximum Lyapunov exponent of the motion in a chaotic layer
I. I. Shevchenko Pulkovo Observatory RAS, 196140 St. Petersburg, Russia
Abstract:
The maximum Lyapunov exponent (referred to the mean half-period of phase libration) of the motion in the chaotic layer of a nonlinear resonance subject to symmetric periodic perturbation, in the limit of infinitely high frequency of the perturbation, has been numerically estimated by two independent methods. The newly derived value of this constant is $0.80$, with precision presumably better than $0.01$.
Received: 05.04.2004 Revised: 05.05.2004
Citation:
I. I. Shevchenko, “On the maximum Lyapunov exponent of the motion in a chaotic layer”, Pis'ma v Zh. Èksper. Teoret. Fiz., 79:11 (2004), 651–656; JETP Letters, 79:11 (2004), 523–528
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https://www.mathnet.ru/eng/jetpl2310 https://www.mathnet.ru/eng/jetpl/v79/i11/p651
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Abstract page: | 194 | Full-text PDF : | 50 | References: | 49 |
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