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Homoclinic twist bifurcations with ℤ2 symmetry |
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| Authors: | D. G. Aronson S. A. van Gils M. Krupa |
| Affiliation: | (1) School of Mathematics, University of Minnesota, 55455 Minneapolis, MN, USA;(2) Faculty of Applied Mathematics, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands;(3) Department of Mathematics, State University of Groningen, P.O. Box 800, 9700 AV Groningen, The Netherlands |
| Abstract: | Summary 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. |
| Keywords: | bifurcation ℤ 2 symmetry homoclinic orbits periodic orbits |
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