On the uniqueness of invariant tori in D4*S1 symmetric systems

S. A. Van Gils; M. Silber

doi:10.1088/0951-7715/8/4/008

On the uniqueness of invariant tori in D₄*S¹ symmetric systems

S. A. Van Gils^*, M. Silber

^*Corresponding author for this work

Engineering Sciences and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

The uniqueness of the branch of two-tori in the D₄-equivariant Hopf bifurcation problem is proved in a neighbourhood of a particular limiting case where, after reduction, the Euler equations for the rotation of a free rigid body apply.

Original language	English (US)
Article number	008
Pages (from-to)	615-628
Number of pages	14
Journal	Nonlinearity
Volume	8
Issue number	4
DOIs	https://doi.org/10.1088/0951-7715/8/4/008
State	Published - 1995

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy
Applied Mathematics

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title = "On the uniqueness of invariant tori in D4*S1 symmetric systems",

abstract = "The uniqueness of the branch of two-tori in the D4-equivariant Hopf bifurcation problem is proved in a neighbourhood of a particular limiting case where, after reduction, the Euler equations for the rotation of a free rigid body apply.",

author = "{Van Gils}, {S. A.} and M. Silber",

year = "1995",

doi = "10.1088/0951-7715/8/4/008",

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volume = "8",

pages = "615--628",

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T1 - On the uniqueness of invariant tori in D4*S1 symmetric systems

AU - Van Gils, S. A.

AU - Silber, M.

PY - 1995

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N2 - The uniqueness of the branch of two-tori in the D4-equivariant Hopf bifurcation problem is proved in a neighbourhood of a particular limiting case where, after reduction, the Euler equations for the rotation of a free rigid body apply.

AB - The uniqueness of the branch of two-tori in the D4-equivariant Hopf bifurcation problem is proved in a neighbourhood of a particular limiting case where, after reduction, the Euler equations for the rotation of a free rigid body apply.

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DO - 10.1088/0951-7715/8/4/008

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JO - Nonlinearity

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On the uniqueness of invariant tori in D₄*S¹ symmetric systems

Abstract

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