The homoclinic twist bifurcation point

D.G. Aronson; S.A. van Gils; M. Krupa

doi:10.1007/978-3-0348-7536-3

The homoclinic twist bifurcation point

D.G. Aronson, S.A. van Gils, M. Krupa

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

Abstract

We analyze bifurcations occurring in the vicinity of a homoclinic twist point for a generic two parameter family of Z 2 equivariant ODE’s in four dimensions. The results are compared with numerical results for a system of two coupled Josephson junctions with pure capacitive load.

Original language	English
Title of host publication	Bifurcation and Symmetry
Subtitle of host publication	Cross Influence between Mathematics and Applications
Editors	Eugene L. Allgower, Klaus Böhmer, Martin Golubitsky
Place of Publication	Basel
Publisher	Birkhäuser
Pages	11-22
Number of pages	12
ISBN (Electronic)	978-3-0348-7536-3
ISBN (Print)	978-3-0348-7538-7
DOIs	https://doi.org/10.1007/978-3-0348-7536-3
Publication status	Published - 2 Jun 1991

Publication series

Name	International Series of Numerical Mathematics
Publisher	Birkhäuser
Volume	104

Keywords

METIS-141651

Access to Document

10.1007/978-3-0348-7536-3

Cite this

@inproceedings{ca5635f475764224bfeff36440fdaa51,

title = "The homoclinic twist bifurcation point",

abstract = "We analyze bifurcations occurring in the vicinity of a homoclinic twist point for a generic two parameter family of Z 2 equivariant ODE{\textquoteright}s in four dimensions. The results are compared with numerical results for a system of two coupled Josephson junctions with pure capacitive load.",

keywords = "METIS-141651",

author = "D.G. Aronson and {van Gils}, S.A. and M. Krupa",

year = "1991",

month = jun,

day = "2",

doi = "10.1007/978-3-0348-7536-3",

language = "English",

isbn = "978-3-0348-7538-7",

series = "International Series of Numerical Mathematics",

publisher = "Birkh{\"a}user",

pages = "11--22",

editor = "Allgower, {Eugene L.} and Klaus B{\"o}hmer and Martin Golubitsky",

booktitle = "Bifurcation and Symmetry",

address = "Switzerland",

}

The homoclinic twist bifurcation point. / Aronson, D.G.; van Gils, S.A.; Krupa, M.
Bifurcation and Symmetry: Cross Influence between Mathematics and Applications. ed. / Eugene L. Allgower; Klaus Böhmer; Martin Golubitsky. Basel: Birkhäuser, 1991. p. 11-22 (International Series of Numerical Mathematics; Vol. 104).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - The homoclinic twist bifurcation point

AU - Aronson, D.G.

AU - van Gils, S.A.

AU - Krupa, M.

PY - 1991/6/2

Y1 - 1991/6/2

N2 - We analyze bifurcations occurring in the vicinity of a homoclinic twist point for a generic two parameter family of Z 2 equivariant ODE’s in four dimensions. The results are compared with numerical results for a system of two coupled Josephson junctions with pure capacitive load.

AB - We analyze bifurcations occurring in the vicinity of a homoclinic twist point for a generic two parameter family of Z 2 equivariant ODE’s in four dimensions. The results are compared with numerical results for a system of two coupled Josephson junctions with pure capacitive load.

KW - METIS-141651

U2 - 10.1007/978-3-0348-7536-3

DO - 10.1007/978-3-0348-7536-3

M3 - Conference contribution

SN - 978-3-0348-7538-7

T3 - International Series of Numerical Mathematics

SP - 11

EP - 22

BT - Bifurcation and Symmetry

A2 - Allgower, Eugene L.

A2 - Böhmer, Klaus

A2 - Golubitsky, Martin

PB - Birkhäuser

CY - Basel

ER -

The homoclinic twist bifurcation point

Abstract

Publication series

Keywords

Access to Document

Fingerprint

Cite this