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Approximate renormalization with codimension-one fixed point for the break-up of some three-frequency tori

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UNSPECIFIED (2000) Approximate renormalization with codimension-one fixed point for the break-up of some three-frequency tori. PHYSICS LETTERS A, 275 (5-6). pp. 394-400. ISSN 0375-9601

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Abstract

An approximate renormalization transformation is constructed for Hamiltonian systems with three degrees of freedom to study the break-up of invariant tori with a three-dimensional frequency vector from the cubic field Q(tau), where tau (3) + tau (2) - 2 tau - 1 = 0. This renormalization has two fixed points: an attracting one and a hyperbolic one with codimension-one stable manifold. The associated critical exponents that characterize the universality class for the break-up of these invariant tori are computed. (C) 2000 Elsevier Science B.V. All rights reserved.

Item Type: Journal Article
Subjects: Q Science > QC Physics
Journal or Publication Title: PHYSICS LETTERS A
Publisher: ELSEVIER SCIENCE BV
ISSN: 0375-9601
Date: 23 October 2000
Volume: 275
Number: 5-6
Number of Pages: 7
Page Range: pp. 394-400
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/12824

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