descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Research , Article , Report 01 Sep 2000 English Publisher:World Scientific Publishing Company

Authors: Krauskopf, B; Oldeman, BE; Champneys, AR;

doi: 10.1142/9789812792617_0010

handle: 1983/540 , 1983/1afb6a17-7a3d-46e6-9782-8195624c4bfd

Resonant homoclinic flip bifurcations: a numerical investigation

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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).

Related Organizations

University of Bristol
United Kingdom
Warsaw School of Computer Science
Poland

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name=Engineering Mathematics Research Group, /dk/atira/pure/core/keywords/engineering_mathematics_research_group; name=Engineering Mathematics Research Group, 530, /dk/atira/pure/core/keywords/engineering_mathematics_research_group, 510

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Homoclinic-Doubling Cascades
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