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• W2080876631 abstract "We study the unfolding of heteroclinic cycles of vector fields in Rn, that possess a hyperbolic singularity and a saddle-node. The principal eigenvalues at the hyperbolic singularity are assumed to be real, but the weak hyperbolic eigenvalues at the saddle-node may be either real or complex conjugate. We discuss the bifurcation diagrams of all codimension two such bifurcations. In some of the occurring cases chaotic dynamics appears in the unfolding. For the cases with only simple dynamics in the unfolding, we obtain the complete bifurcation diagram. We derive exponential expansions for the transition map near the saddle-node." @default.
• W2080876631 created "2016-06-24" @default.
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• W2080876631 date "2000-03-01" @default.
• W2080876631 modified "2023-10-16" @default.
• W2080876631 title "Singular Heteroclinic Cycles" @default.
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• W2080876631 doi "https://doi.org/10.1006/jdeq.1999.3691" @default.
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