An algorithm to detect homoclinic twist bifurcation points in Z_{2}-symmetric autonomous systems of ordinary differential equations in ℝ^{4}along curves of symmetric homoclinic orbits to hyperbolic equilibria hasbeen developed. We show convergence of numerical approximations to homoclinictwist bifurcation points in such systems. A test function is definedon the homoclinic solutions, which has a regular zero in the codimensiontwobifurcation points. This codimension-two singularity can be continuedappending the test function to a three parameter vector field. We demonstratethe use of the test function on several examples of two coupledJosephson junctions.

Original language | English |
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Place of Publication | Enschede |
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Publisher | University of Twente |
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Number of pages | 25 |
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Publication status | Published - 1997 |
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Name | Memorandum |
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Publisher | University of Twente, Faculty of Applied Mathematics |
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No. | 1371 |
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ISSN (Print) | 0169-2690 |
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