NDLI: AC 1 make or break lemma

Content Provider	Springer Nature Link
Author	Hayashi, Shuhei
Copyright Year	2000
Abstract	Mañé suggested the following question: Consider aC r flow on a compact manifold without boundary and suppose that the ω-limit set of a pointp intersets the α-limit set ofq, i.e. ω(p)∩α(q)≠Ø. Can the flow beC r-perturbed so that either (a)p is connected toq (p andq in the same orbit) or (b) ω(p)∩α(q)=Ø for the new flow? Here we solve positively a stronger version of this problem forC 1 small perturbations of the original flow.
Starting Page	337
Ending Page	350
Page Count	14
File Format	PDF
ISSN	01003569
Journal	Bulletin of the Brazilian Mathematical Society
Volume Number	31
Issue Number	3
e-ISSN	16787714
Language	English
Publisher	Springer-Verlag
Publisher Date	2000-01-01
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	homoclinic orbits connecting lemma Morse-Smale systems Kupka-Smale systems ergodic measures generic properties Mathematical and Computational Physics
Content Type	Text
Resource Type	Article
Subject	Mathematics

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AC 1 make or break lemma