منابع مشابه
On the Closing Lemma for Planar Piecewise Smooth Vector Fields
A large number of papers deal with “Closing Lemmas” for Cr-vector fields (and Cr-diffeomorphisms). Here, we introduce this subject and formalize the terminology about nontrivially recurrent points and nonwandering points for the context of planar piecewise smooth vector fields. A global bifurcation analysis of a special family of piecewise smooth vector fields presenting a nonwandering set with...
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متن کاملThe C Closing Lemma for Nonsingular Endomorphisms Equivariant under Free Actions of Finite Groups
In this paper a closing lemma for C1 nonsingular endomorphisms equivariant under free actions of finite-groups is proved. Hence a recurrent trajectory, as well as all of its symmetric conjugates, of a C1 nonsingular endomorphism equivariant under a free action of a finite group can be closed up simultaneously by an arbitrarily small C1 equivariant perturbation.
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1964
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1964-11206-4