On the uniqueness of invariant tori in D4xS1-symmetric systems

Stephanus A. van Gils; M. Silber

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

On the uniqueness of invariant tori in D4xS1-symmetric systems

Stephanus A. van Gils, M. Silber

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

6 Citations (Scopus)

141 Downloads (Pure)

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	Undefined
Pages (from-to)	615-628
Number of pages	14
Journal	Nonlinearity
Volume	8
Issue number	8
DOIs	https://doi.org/10.1088/0951-7715/8/4/008
Publication status	Published - 1995

Keywords

METIS-140907
IR-72375

Access to Document

10.1088/0951-7715/8/4/008

Gils95on

Cite this

@article{42354fb445ab4b3e9725ad61d8e6b88c,

title = "On the uniqueness of invariant tori in D4xS1-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.",

keywords = "METIS-140907, IR-72375",

author = "{van Gils}, {Stephanus A.} and M. Silber",

year = "1995",

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

language = "Undefined",

volume = "8",

pages = "615--628",

journal = "Nonlinearity",

issn = "0951-7715",

publisher = "Institute of Physics (IOP)",

number = "8",

}

TY - JOUR

T1 - On the uniqueness of invariant tori in D4xS1-symmetric systems

AU - van Gils, Stephanus A.

AU - Silber, M.

PY - 1995

Y1 - 1995

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.

KW - METIS-140907

KW - IR-72375

U2 - 10.1088/0951-7715/8/4/008

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

M3 - Article

SN - 0951-7715

VL - 8

SP - 615

EP - 628

JO - Nonlinearity

JF - Nonlinearity

IS - 8

ER -