Homoclinic twist bifurcations with ℤ2 symmetry

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1994 Netherlands English Publisher:Springer Science and Business Media LLCJournal:Journal of Nonlinear Science, volume 4, pages 195-219 (issn: 0938-8974, eissn: 1432-1467,

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Authors: Aronson, D.G.; van Gils, S.A.; Krupa, M.P.;

doi: 10.1007/bf02430632

handle: 11370/718a6d3f-e364-49e4-bd09-0c7283642ebc

Homoclinic twist bifurcations with ℤ2 symmetry

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Abstract

We analyze bifurcations occurring in the vicinity of a homoclinic twist point for a generic two-parameter family of Z2 equivariant ODEs in four dimensions. The results are compared with numerical results for a system of two coupled Josephson junctions with pure capacitive load.

Country

Netherlands

Related Organizations

University of Groningen
Netherlands
University of Minnesota Morris
United States
University of Twente
Netherlands
University of Minnesota
United States

Keywords

METIS-140935, BIFURCATION, Z(2) SYMMETRY, HOMOCLINIC ORBITS, PERIODIC ORBITS

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