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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Let M be a compact oriented Riemannian surface with non-positive curvature. Suppose that F : R× [0, ε] → M is an isometric immersion. We show that either M is isometric to flat torus or the image of F is periodic, i.e., it is a periodic flat strip in M. Introduction The results of this paper are related to a well-known problem to the effect that the geodesic flow on the unit tangent bundle of a...
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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John Pugh died on 21 June 1976, 40 years, all but one month, after developing Addison's disease. Save for the first three years of this period, he lived a full life both socially and professionally. He developed his illness at a time when the treatment of this disease was in the research stage, so his history is something of a medical saga which his family feel should be put on record if only, ...
متن کاملIntroducing Edward N. Pugh, Jr.
forward to observe the Journal’s continued development and growth under his leadership. Finally I wish to thank a few individuals for their many contributions to the Journal during my 24 years as Associate Editor and Editor — fi rst and foremost my predecessor, Paul F. Cranefi eld, who was an exemplary mentor and set an example for us all to follow, and my fellow Associate Editors David Gadsby ...
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ژورنال
عنوان ژورنال: Scholarpedia
سال: 2008
ISSN: 1941-6016
DOI: 10.4249/scholarpedia.5072