Bifurcation of heteroclinic orbits via an index theory
نویسندگان
چکیده
منابع مشابه
An Equivariant, Inclination-flip, Heteroclinic Bifurcation
We examine a heteroclinic bifurcation occurring in families of equivariant vector elds. Within these families, the ows contain structurally stable heteroclinic cycles. The ow can twist around the cycle to produce what is the equivalent of an \inclination-ip" homoclinic orbit. An unfolding of this bifurcation in a generic one-parameter equivariant family shows that Smale horseshoes are embedded ...
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2018
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-018-2167-1