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Degenerate Dynamical Systems and the Disappearance of (K.A.M.-Type) Integrals of Motion

Published online by Cambridge University Press:  12 April 2016

H. Varvoglis
H. Varvoglis*
Affiliation:
Astronomy Department, University of Thessaloniki, Greece

Abstract

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The problem of constructing the stochasticity criterion of a degenerate near-integrable dynamical system is considered. We show that in certain cases the above criterion can be found as the limit of the corresponding stochasticity criteria of a family of non-degenerate systems, whose limit is the degenerate one.

Type
Part VI - Miscellaneous Dynamics
Information
International Astronomical Union Colloquium , Volume 74: Dynamical Trapping and Evolution in the Solar System , 1983 , pp. 411 - 415
Copyright
Copyright © Reidel 1983

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