Group theoretic conditions for existence of robust relative homoclinic trajectories
نویسندگان
چکیده
منابع مشابه
Group theoretic conditions for existence of robust relative homoclinic trajectories
In this paper we consider robust relative homoclinic trajectories (RHTs) for G-equivariant vector fields. We give some conditions on the group and representation that imply existence of equivariant vector fields with such trajectories. Using these result we show very simply that abelian groups cannot exhibit relative homoclinic trajectories. Examining a set of group theoretic conditions that im...
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ژورنال
عنوان ژورنال: Mathematical Proceedings of the Cambridge Philosophical Society
سال: 2002
ISSN: 0305-0041,1469-8064
DOI: 10.1017/s0305004101005801