Resonant homoclinic flip bifurcations: a numerical investigation

B Krauskopf; BE Oldeman; AR Champneys

Resonant homoclinic flip bifurcations: a numerical investigation

B Krauskopf, BE Oldeman, AR Champneys

Research output: Working paper

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Abstract

We report on a numerical study of codimension-three resonant inclination flip homoclinic orbits. Two cases of unfoldings are presented: one with a single homoclinic doubling, and the other containing a homoclinic-doubling cascade. Our results confirm the unfoldings given in (A.J. Homburg and B. Krauskopf, ``Resonant homoclinic flip bifurcations'', DANSE preprint, 53/98, 1998). Postscript copy of the paper (138KB).

Original language	English
Publication status	Published - 1999

Bibliographical note

Additional information: Preprint of a paper later published by IOP Publishing (2001), Nonlinearity, 14(3), 597-621, ISSN 0951-7715

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1 Conference Contribution (Conference Proceeding)

Resonant homoclinic flip bifurcations : a numerical investigation
Krauskopf, B., Oldeman, BE. & Champneys, AR., 2000, Proc of Equadiff '99. World Scientific Publishing Co., Vol. 1. p. 55 - 57
Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

Cite this

@techreport{165a92c3baae470a9b51d1aa2c097c56,

title = "Resonant homoclinic flip bifurcations: a numerical investigation",

abstract = "We report on a numerical study of codimension-three resonant inclination flip homoclinic orbits. Two cases of unfoldings are presented: one with a single homoclinic doubling, and the other containing a homoclinic-doubling cascade. Our results confirm the unfoldings given in (A.J. Homburg and B. Krauskopf, ``Resonant homoclinic flip bifurcations'', DANSE preprint, 53/98, 1998). Postscript copy of the paper (138KB).",

author = "B Krauskopf and BE Oldeman and AR Champneys",

note = "Additional information: Preprint of a paper later published by IOP Publishing (2001), Nonlinearity, 14(3), 597-621, ISSN 0951-7715 ",

year = "1999",

language = "English",

type = "WorkingPaper",

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TY - UNPB

T1 - Resonant homoclinic flip bifurcations

T2 - a numerical investigation

AU - Krauskopf, B

AU - Oldeman, BE

AU - Champneys, AR

N1 - Additional information: Preprint of a paper later published by IOP Publishing (2001), Nonlinearity, 14(3), 597-621, ISSN 0951-7715

PY - 1999

Y1 - 1999

N2 - We report on a numerical study of codimension-three resonant inclination flip homoclinic orbits. Two cases of unfoldings are presented: one with a single homoclinic doubling, and the other containing a homoclinic-doubling cascade. Our results confirm the unfoldings given in (A.J. Homburg and B. Krauskopf, ``Resonant homoclinic flip bifurcations'', DANSE preprint, 53/98, 1998). Postscript copy of the paper (138KB).

AB - We report on a numerical study of codimension-three resonant inclination flip homoclinic orbits. Two cases of unfoldings are presented: one with a single homoclinic doubling, and the other containing a homoclinic-doubling cascade. Our results confirm the unfoldings given in (A.J. Homburg and B. Krauskopf, ``Resonant homoclinic flip bifurcations'', DANSE preprint, 53/98, 1998). Postscript copy of the paper (138KB).

M3 - Working paper

BT - Resonant homoclinic flip bifurcations

ER -

Resonant homoclinic flip bifurcations: a numerical investigation

Abstract

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Research output

Resonant homoclinic flip bifurcations : a numerical investigation

Cite this