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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 | ||||
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Subjects: | Q Science > QC Physics | ||||
Journal or Publication Title: | PHYSICS LETTERS A | ||||
Publisher: | ELSEVIER SCIENCE BV | ||||
ISSN: | 0375-9601 | ||||
Official Date: | 23 October 2000 | ||||
Dates: |
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Volume: | 275 | ||||
Number: | 5-6 | ||||
Number of Pages: | 7 | ||||
Page Range: | pp. 394-400 | ||||
Publication Status: | Published |
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