Renormalization method for computing the threshold of the large-scale stochastic instability in two degrees of freedom Hamiltonian systems View Full Text


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Article Info

DATE

1981-10

AUTHORS

D. F. Escande, F. Doveil

ABSTRACT

An approximate renormalization procedure is derived for the HamiltonianH(v,x,t)=v2/2−M cosx−P cosk(x−t). It gives an estimate of the large scale stochastic instability threshold which agrees within 5–10% with the results obtained from direct numerical integration of the canonical equations. It shows that this instability is related to the destruction of KAM tori between the two resonances and makes the connection with KAM theory. Possible improvements of the method are proposed. The results obtained forH allow us to estimate the threshold for a large class of Hamiltonian systems with two degrees of freedom. More... »

PAGES

257-284

Journal

TITLE

Journal of Statistical Physics

ISSUE

2

VOLUME

26

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf01013171

DOI

http://dx.doi.org/10.1007/bf01013171

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1045217896


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